{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Electron capture via Sn_Zn in CZTS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook demonstrates some of the basic features of `CarrierCapture`, a set of codes to compute carrier capture and recombination rates in semiconducting compounds.\n",
    "\n",
    "This notebook was last updated 10-Mar-2020 for version 0.2 of `CarrierCapture`.\n",
    "\n",
    "See more in [J. Mater. Chem. A 7, 2686 (2019)](https://pubs.rsc.org/en/content/articlelanding/2019/ta/c8ta10130b).\n",
    "\n",
    "## Overview\n",
    "In this notebook, we will:\n",
    "\n",
    "1. Find a best fit for the energy calculations of the deferomed structures (potential) to generate potential energy surfaces (PES). Solve the 1D Schrödinger equation for each PES to obtain their phonon (nuclear) wavefunctions.\n",
    "2. Constructe configuration coordinate (conf_coord) to calculate the wavefunction overlap between each PES, which forms part of the temperature-dependent capture coefficient.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "VERSION = v\"1.4.1\"\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "v\"1.4.1\""
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using CarrierCapture\n",
    "using Plots, LaTeXStrings\n",
    "using DataFrames\n",
    "@show VERSION"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Potentials"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The domain of PES (`Q`) is defined. Make sure all relevent wave functions are in the domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-25.0:0.020006668889629875:35.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Qmin = -25\n",
    "Qmax = 35\n",
    "NQ = 3000\n",
    "Q = range(Qmin, stop=Qmax, length=NQ)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find a best fit for the energy calculations of the deferomed structures (potential) to generate potential energy surfaces (PES). \n",
    "Here we using [spline interpolation](https://en.wikipedia.org/wiki/Spline_interpolation) to find their best fit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Potential fitting: SnII+e+h\n",
      "========harmonic=========\n",
      "\n",
      "Potential fitting: SnIII+h\n",
      "========harmonic=========\n",
      "\n",
      "Potential fitting: SnII\n",
      "========harmonic=========\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\"Fitting completed\""
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# pot1\n",
    "nev = 30\n",
    "name = \"SnII+e+h\"\n",
    "\n",
    "pot1 = Potential(); pot1.name = name\n",
    "pot1.Q0 = 0; pot1.E0 = 1.46\n",
    "pot1.nev = nev\n",
    "pot1.func_type = \"harmonic\"\n",
    "params = Dict()\n",
    "params[\"hw\"] = 0.0288945775003\n",
    "pot1.Q = Q\n",
    "pot1.params = params\n",
    "fit_pot!(pot1)\n",
    "# pot1.func = x -> harmonic(x, 0.0288945775003; E₀ = pot1.E0, Q₀ = pot1.Q0)\n",
    "# pot1.Q = Q\n",
    "# pot1.E = pot1.func.(Q)\n",
    "\n",
    "\n",
    "# pot2\n",
    "nev = 40\n",
    "name = \"SnIII+h\"\n",
    "\n",
    "pot2 = Potential(); pot2.name = name\n",
    "pot2.Q0 = 1.90291674728; pot2.E0 = 0.585005\n",
    "pot2.nev = nev\n",
    "pot2.func_type = \"harmonic\"\n",
    "params = Dict()\n",
    "params[\"hw\"] = 0.0281812646475\n",
    "pot2.Q = Q\n",
    "pot2.params = params\n",
    "fit_pot!(pot2)\n",
    "# pot2.func = x -> harmonic(x, 0.1281812646475; E₀ = pot2.E0, Q₀ = pot2.Q0)\n",
    "# pot2.Q = Q\n",
    "# pot2.E = pot2.func.(Q)\n",
    "\n",
    "\n",
    "# pot3\n",
    "nev = 30\n",
    "hw = 0.0288945775003\n",
    "name = \"SnII\"\n",
    "\n",
    "pot3 = Potential(); pot3.name = name\n",
    "pot3.Q0 = 0; pot3.E0 = 0\n",
    "pot3.nev = nev\n",
    "pot3.func_type = \"harmonic\"\n",
    "params = Dict()\n",
    "params[\"hw\"] = 0.0288945775003\n",
    "pot3.Q = Q\n",
    "pot3.params = params\n",
    "fit_pot!(pot3)\n",
    "# pot3.func = x -> harmonic(x, 0.0288945775003; E₀ = pot3.E0, Q₀ = pot3.Q0)\n",
    "# pot3.Q = Q\n",
    "# pot3.E = pot3.func.(Q)\n",
    "\"Fitting completed\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next step is solving the 1D Schrödinger equation for each PES to obtain their phonon (nuclear) wavefunctions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"Schrödinger equation solved\""
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "solve_pot!(pot1)\n",
    "solve_pot!(pot2)\n",
    "solve_pot!(pot3)\n",
    "\"Schrödinger equation solved\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Capture barriers"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The classic energy barrier to capture an electron or a hole can be calculated using `find_crossing` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Electron capture barrier: 0.2244086500961966 eV\n",
      "Hole capture barrier: 0.03233164063109362 eV\n"
     ]
    }
   ],
   "source": [
    "Qx, Ex = find_crossing(pot1, pot2)\n",
    "println(\"Electron capture barrier: $(Ex-pot1.E0) eV\")\n",
    "Qx, Ex = find_crossing(pot2, pot3)\n",
    "println(\"Hole capture barrier: $(Ex-pot2.E0) eV\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Potentials and associated wave functions "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting the potential energy surfaces and associated wave functions can help you to understand what is happening. Make sure you calculated an enough number of state (`nev`) to describe the carrier-cature behavior."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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       "  -389.818,-4834.72 -386.959,-4812.04 -384.1,-4789.42 -381.242,-4766.85 -378.383,-4744.32 -375.525,-4721.85 -372.666,-4699.42 -369.807,-4677.05 -366.949,-4654.72 -364.09,-4632.44 \n",
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       "  -246.888,-3761.61 -244.03,-3741.4 -241.171,-3721.25 -238.313,-3701.15 -235.454,-3681.09 -232.595,-3661.09 -229.737,-3641.13 -226.878,-3621.22 -224.02,-3601.37 -221.161,-3581.56 \n",
       "  -218.302,-3561.8 -215.444,-3542.09 -212.585,-3522.43 -209.727,-3502.82 -206.868,-3483.26 -204.01,-3463.75 -201.151,-3444.29 -198.292,-3424.87 -195.434,-3405.51 -192.575,-3386.2 \n",
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       "  -161.131,-3177 -158.272,-3158.28 -155.414,-3139.61 -152.555,-3120.99 -149.696,-3102.41 -146.838,-3083.89 -143.979,-3065.42 -141.121,-3046.99 -138.262,-3028.62 -135.404,-3010.29 \n",
       "  -132.545,-2992.01 -129.686,-2973.79 -126.828,-2955.61 -123.969,-2937.48 -121.111,-2919.4 -118.252,-2901.37 -115.393,-2883.39 -112.535,-2865.46 -109.676,-2847.58 -106.818,-2829.74 \n",
       "  -103.959,-2811.96 -101.101,-2794.23 -98.2419,-2776.54 -95.3833,-2758.91 -92.5248,-2741.32 -89.6662,-2723.79 -86.8076,-2706.3 -83.949,-2688.86 -81.0904,-2671.47 -78.2318,-2654.14 \n",
       "  -75.3733,-2636.85 -72.5147,-2619.61 -69.6561,-2602.42 -66.7975,-2585.28 -63.9389,-2568.18 -61.0803,-2551.14 -58.2218,-2534.15 -55.3632,-2517.21 -52.5046,-2500.31 -49.646,-2483.47 \n",
       "  -46.7874,-2466.67 -43.9288,-2449.93 -41.0702,-2433.23 -38.2117,-2416.58 -35.3531,-2399.99 -32.4945,-2383.44 -29.6359,-2366.94 -26.7773,-2350.49 -23.9187,-2334.09 -21.0602,-2317.74 \n",
       "  -18.2016,-2301.44 -15.343,-2285.18 -12.4844,-2268.98 -9.62582,-2252.83 -6.76723,-2236.72 -3.90865,-2220.67 -1.05007,-2204.66 1.80852,-2188.71 4.6671,-2172.8 7.52569,-2156.95 \n",
       "  10.3843,-2141.14 13.2429,-2125.38 16.1014,-2109.67 18.96,-2094.01 21.8186,-2078.4 24.6772,-2062.84 27.5358,-2047.33 30.3944,-2031.87 33.2529,-2016.46 36.1115,-2001.09 \n",
       "  38.9701,-1985.78 41.8287,-1970.51 44.6873,-1955.3 47.5459,-1940.13 50.4045,-1925.02 53.263,-1909.95 56.1216,-1894.93 58.9802,-1879.97 61.8388,-1865.05 64.6974,-1850.18 \n",
       "  67.556,-1835.36 70.4145,-1820.59 73.2731,-1805.87 76.1317,-1791.2 78.9903,-1776.57 81.8489,-1762 84.7075,-1747.48 87.566,-1733 90.4246,-1718.58 93.2832,-1704.2 \n",
       "  96.1418,-1689.88 99.0004,-1675.6 101.859,-1661.37 104.718,-1647.2 107.576,-1633.07 110.435,-1618.99 113.293,-1604.96 116.152,-1590.98 119.01,-1577.05 121.869,-1563.17 \n",
       "  124.728,-1549.33 127.586,-1535.55 130.445,-1521.82 133.303,-1508.13 136.162,-1494.5 139.021,-1480.91 141.879,-1467.38 144.738,-1453.89 147.596,-1440.45 150.455,-1427.07 \n",
       "  153.313,-1413.73 156.172,-1400.44 159.031,-1387.2 161.889,-1374.01 164.748,-1360.87 167.606,-1347.78 170.465,-1334.74 173.324,-1321.74 176.182,-1308.8 179.041,-1295.91 \n",
       "  181.899,-1283.06 184.758,-1270.27 187.616,-1257.52 190.475,-1244.83 193.334,-1232.18 196.192,-1219.58 199.051,-1207.03 201.909,-1194.53 204.768,-1182.08 207.627,-1169.68 \n",
       "  210.485,-1157.33 213.344,-1145.03 216.202,-1132.78 219.061,-1120.58 221.92,-1108.43 224.778,-1096.32 227.637,-1084.27 230.495,-1072.26 233.354,-1060.31 236.212,-1048.4 \n",
       "  239.071,-1036.55 241.93,-1024.74 244.788,-1012.98 247.647,-1001.27 250.505,-989.612 253.364,-978.003 256.223,-966.442 259.081,-954.931 261.94,-943.47 264.798,-932.057 \n",
       "  267.657,-920.695 270.515,-909.381 273.374,-898.117 276.233,-886.902 279.091,-875.737 281.95,-864.621 284.808,-853.555 287.667,-842.538 290.526,-831.57 293.384,-820.652 \n",
       "  296.243,-809.783 299.101,-798.963 301.96,-788.193 304.818,-777.472 307.677,-766.801 310.536,-756.179 313.394,-745.606 316.253,-735.083 319.111,-724.609 321.97,-714.184 \n",
       "  324.829,-703.809 327.687,-693.483 330.546,-683.207 333.404,-672.98 336.263,-662.803 339.121,-652.674 341.98,-642.596 344.839,-632.566 347.697,-622.586 350.556,-612.656 \n",
       "  353.414,-602.774 356.273,-592.942 359.132,-583.16 361.99,-573.427 364.849,-563.743 367.707,-554.109 370.566,-544.524 373.424,-534.988 376.283,-525.502 379.142,-516.065 \n",
       "  382,-506.678 384.859,-497.34 387.717,-488.051 390.576,-478.812 393.435,-469.622 396.293,-460.482 399.152,-451.391 402.01,-442.349 404.869,-433.357 407.727,-424.414 \n",
       "  410.586,-415.52 413.445,-406.676 416.303,-397.881 419.162,-389.136 422.02,-380.44 424.879,-371.793 427.738,-363.196 430.596,-354.648 433.455,-346.15 436.313,-337.701 \n",
       "  439.172,-329.301 442.031,-320.951 444.889,-312.65 447.748,-304.398 450.606,-296.196 453.465,-288.043 456.323,-279.94 459.182,-271.886 462.041,-263.881 464.899,-255.926 \n",
       "  467.758,-248.02 470.616,-240.164 473.475,-232.357 476.334,-224.599 479.192,-216.891 482.051,-209.232 484.909,-201.623 487.768,-194.062 490.626,-186.552 493.485,-179.09 \n",
       "  496.344,-171.678 499.202,-164.316 502.061,-157.003 504.919,-149.739 507.778,-142.524 510.637,-135.359 513.495,-128.244 516.354,-121.177 519.212,-114.161 522.071,-107.193 \n",
       "  524.929,-100.275 527.788,-93.4062 530.647,-86.5869 533.505,-79.8169 536.364,-73.0964 539.222,-66.4252 542.081,-59.8034 544.94,-53.231 547.798,-46.7079 550.657,-40.2343 \n",
       "  553.515,-33.8101 556.374,-27.4352 559.232,-21.1097 562.091,-14.8336 564.95,-8.60689 567.808,-2.42957 570.667,3.69837 573.525,9.77693 576.384,15.8061 579.243,21.7859 \n",
       "  582.101,27.7163 584.96,33.5973 587.818,39.4289 590.677,45.2112 593.535,50.944 596.394,56.6275 599.253,62.2616 602.111,67.8463 604.97,73.3816 607.828,78.8675 \n",
       "  610.687,84.304 613.546,89.6912 616.404,95.029 619.263,100.317 622.121,105.556 624.98,110.746 627.838,115.886 630.697,120.977 633.556,126.018 636.414,131.011 \n",
       "  639.273,135.953 642.131,140.847 644.99,145.69 647.849,150.485 650.707,155.23 653.566,159.926 656.424,164.572 659.283,169.169 662.141,173.717 665,178.215 \n",
       "  667.859,182.664 670.717,187.063 673.576,191.413 676.434,195.714 679.293,199.965 682.152,204.167 685.01,208.32 687.869,212.423 690.727,216.477 693.586,220.481 \n",
       "  696.445,224.436 699.303,228.341 702.162,232.198 705.02,236.005 707.879,239.762 710.737,243.47 713.596,247.129 716.455,250.738 719.313,254.298 722.172,257.808 \n",
       "  725.03,261.269 727.889,264.681 730.748,268.043 733.606,271.356 736.465,274.62 739.323,277.834 742.182,280.999 745.04,284.114 747.899,287.18 750.758,290.197 \n",
       "  753.616,293.164 756.475,296.082 759.333,298.951 762.192,301.77 765.051,304.539 767.909,307.26 770.768,309.931 773.626,312.552 776.485,315.124 779.343,317.647 \n",
       "  782.202,320.121 785.061,322.545 787.919,324.919 790.778,327.245 793.636,329.52 796.495,331.747 799.354,333.924 802.212,336.052 805.071,338.13 807.929,340.159 \n",
       "  810.788,342.138 813.646,344.069 816.505,345.949 819.364,347.781 822.222,349.563 825.081,351.295 827.939,352.979 830.798,354.612 833.657,356.197 836.515,357.732 \n",
       "  839.374,359.218 842.232,360.654 845.091,362.041 847.949,363.378 850.808,364.667 853.667,365.905 856.525,367.095 859.384,368.235 862.242,369.325 865.101,370.366 \n",
       "  867.96,371.358 870.818,372.301 873.677,373.194 876.535,374.037 879.394,374.832 882.252,375.577 885.111,376.272 887.97,376.918 890.828,377.515 893.687,378.062 \n",
       "  896.545,378.56 899.404,379.009 902.263,379.408 905.121,379.758 907.98,380.058 910.838,380.309 913.697,380.511 916.556,380.663 919.414,380.766 922.273,380.82 \n",
       "  925.131,380.824 927.99,380.779 930.848,380.684 933.707,380.54 936.566,380.347 939.424,380.104 942.283,379.812 945.141,379.47 948,379.079 950.859,378.639 \n",
       "  953.717,378.149 956.576,377.61 959.434,377.021 962.293,376.383 965.151,375.696 968.01,374.959 970.869,374.173 973.727,373.338 976.586,372.453 979.444,371.519 \n",
       "  982.303,370.535 985.162,369.502 988.02,368.42 990.879,367.288 993.737,366.107 996.596,364.876 999.454,363.597 1002.31,362.267 1005.17,360.889 1008.03,359.46 \n",
       "  1010.89,357.983 1013.75,356.456 1016.61,354.88 1019.46,353.254 1022.32,351.579 1025.18,349.855 1028.04,348.081 1030.9,346.258 1033.76,344.386 1036.62,342.464 \n",
       "  1039.47,340.492 1042.33,338.472 1045.19,336.401 1048.05,334.282 1050.91,332.113 1053.77,329.895 1056.63,327.627 1059.48,325.31 1062.34,322.944 1065.2,320.528 \n",
       "  1068.06,318.063 1070.92,315.548 1073.78,312.984 1076.64,310.371 1079.49,307.708 1082.35,304.996 1085.21,302.235 1088.07,299.424 1090.93,296.564 1093.79,293.654 \n",
       "  1096.65,290.695 1099.5,287.687 1102.36,284.629 1105.22,281.522 1108.08,278.365 1110.94,275.159 1113.8,271.904 1116.66,268.599 1119.51,265.245 1122.37,261.841 \n",
       "  1125.23,258.389 1128.09,254.886 1130.95,251.335 1133.81,247.734 1136.67,244.083 1139.53,240.383 1142.38,236.634 1145.24,232.836 1148.1,228.988 1150.96,225.09 \n",
       "  1153.82,221.144 1156.68,217.147 1159.54,213.102 1162.39,209.007 1165.25,204.863 1168.11,200.669 1170.97,196.426 1173.83,192.134 1176.69,187.792 1179.55,183.401 \n",
       "  1182.4,178.96 1185.26,174.47 1188.12,169.931 1190.98,165.342 1193.84,160.704 1196.7,156.016 1199.56,151.279 1202.41,146.493 1205.27,141.657 1208.13,136.772 \n",
       "  1210.99,131.838 1213.85,126.854 1216.71,121.821 1219.57,116.738 1222.42,111.606 1225.28,106.425 1228.14,101.194 1231,95.9138 1233.86,90.5843 1236.72,85.2053 \n",
       "  1239.58,79.777 1242.43,74.2993 1245.29,68.7722 1248.15,63.1958 1251.01,57.5699 1253.87,51.8947 1256.73,46.1701 1259.59,40.3961 1262.44,34.5727 1265.3,28.6999 \n",
       "  1268.16,22.7777 1271.02,16.8062 1273.88,10.7852 1276.74,4.7149 1279.6,-1.40481 1282.45,-7.57391 1285.31,-13.7924 1288.17,-20.0603 1291.03,-26.3775 1293.89,-32.7441 \n",
       "  1296.75,-39.1602 1299.61,-45.6256 1302.46,-52.1404 1305.32,-58.7046 1308.18,-65.3181 1311.04,-71.9811 1313.9,-78.6934 1316.76,-85.4551 1319.62,-92.2662 1322.47,-99.1267 \n",
       "  1325.33,-106.037 1328.19,-112.996 1331.05,-120.005 1333.91,-127.063 1336.77,-134.17 1339.63,-141.327 1342.48,-148.533 1345.34,-155.789 1348.2,-163.094 1351.06,-170.448 \n",
       "  1353.92,-177.852 1356.78,-185.305 1359.64,-192.807 1362.49,-200.359 1365.35,-207.96 1368.21,-215.611 1371.07,-223.311 1373.93,-231.061 1376.79,-238.859 1379.65,-246.708 \n",
       "  1382.5,-254.605 1385.36,-262.552 1388.22,-270.549 1391.08,-278.594 1393.94,-286.689 1396.8,-294.834 1399.66,-303.028 1402.51,-311.271 1405.37,-319.564 1408.23,-327.906 \n",
       "  1411.09,-336.297 1413.95,-344.738 1416.81,-353.228 1419.67,-361.768 1422.52,-370.357 1425.38,-378.995 1428.24,-387.683 1431.1,-396.42 1433.96,-405.207 1436.82,-414.043 \n",
       "  1439.68,-422.928 1442.54,-431.863 1445.39,-440.847 1448.25,-449.88 1451.11,-458.963 1453.97,-468.095 1456.83,-477.277 1459.69,-486.508 1462.55,-495.788 1465.4,-505.118 \n",
       "  1468.26,-514.497 1471.12,-523.926 1473.98,-533.404 1476.84,-542.931 1479.7,-552.508 1482.56,-562.134 1485.41,-571.809 1488.27,-581.534 1491.13,-591.309 1493.99,-601.132 \n",
       "  1496.85,-611.005 1499.71,-620.928 1502.57,-630.899 1505.42,-640.921 1508.28,-650.991 1511.14,-661.111 1514,-671.28 1516.86,-681.499 1519.72,-691.767 1522.58,-702.085 \n",
       "  1525.43,-712.452 1528.29,-722.868 1531.15,-733.334 1534.01,-743.849 1536.87,-754.413 1539.73,-765.027 1542.59,-775.69 1545.44,-786.403 1548.3,-797.165 1551.16,-807.976 \n",
       "  1554.02,-818.837 1556.88,-829.747 1559.74,-840.706 1562.6,-851.715 1565.45,-862.773 1568.31,-873.881 1571.17,-885.038 1574.03,-896.245 1576.89,-907.5 1579.75,-918.806 \n",
       "  1582.61,-930.16 1585.46,-941.564 1588.32,-953.018 1591.18,-964.52 1594.04,-976.072 1596.9,-987.674 1599.76,-999.325 1602.62,-1011.03 1605.47,-1022.77 1608.33,-1034.57 \n",
       "  1611.19,-1046.42 1614.05,-1058.32 1616.91,-1070.27 1619.77,-1082.26 1622.63,-1094.31 1625.48,-1106.41 1628.34,-1118.55 1631.2,-1130.74 1634.06,-1142.99 1636.92,-1155.28 \n",
       "  1639.78,-1167.62 1642.64,-1180.01 1645.49,-1192.46 1648.35,-1204.95 1651.21,-1217.49 1654.07,-1230.08 1656.93,-1242.71 1659.79,-1255.4 1662.65,-1268.14 1665.5,-1280.93 \n",
       "  1668.36,-1293.76 1671.22,-1306.65 1674.08,-1319.58 1676.94,-1332.57 1679.8,-1345.6 1682.66,-1358.68 1685.51,-1371.82 1688.37,-1385 1691.23,-1398.23 1694.09,-1411.51 \n",
       "  1696.95,-1424.84 1699.81,-1438.22 1702.67,-1451.65 1705.52,-1465.13 1708.38,-1478.65 1711.24,-1492.23 1714.1,-1505.86 1716.96,-1519.53 1719.82,-1533.26 1722.68,-1547.03 \n",
       "  1725.53,-1560.86 1728.39,-1574.73 1731.25,-1588.65 1734.11,-1602.62 1736.97,-1616.65 1739.83,-1630.72 1742.69,-1644.84 1745.54,-1659.01 1748.4,-1673.23 1751.26,-1687.49 \n",
       "  1754.12,-1701.81 1756.98,-1716.18 1759.84,-1730.6 1762.7,-1745.06 1765.56,-1759.58 1768.41,-1774.14 1771.27,-1788.75 1774.13,-1803.42 1776.99,-1818.13 1779.85,-1832.89 \n",
       "  1782.71,-1847.71 1785.57,-1862.57 1788.42,-1877.48 1791.28,-1892.44 1794.14,-1907.45 1797,-1922.5 1799.86,-1937.61 1802.72,-1952.77 1805.58,-1967.98 1808.43,-1983.23 \n",
       "  1811.29,-1998.54 1814.15,-2013.89 1817.01,-2029.3 1819.87,-2044.75 1822.73,-2060.25 1825.59,-2075.81 1828.44,-2091.41 1831.3,-2107.06 1834.16,-2122.76 1837.02,-2138.51 \n",
       "  1839.88,-2154.31 1842.74,-2170.16 1845.6,-2186.05 1848.45,-2202 1851.31,-2218 1854.17,-2234.05 1857.03,-2250.14 1859.89,-2266.29 1862.75,-2282.48 1865.61,-2298.72 \n",
       "  1868.46,-2315.02 1871.32,-2331.36 1874.18,-2347.75 1877.04,-2364.19 1879.9,-2380.68 1882.76,-2397.22 1885.62,-2413.81 1888.47,-2430.45 1891.33,-2447.14 1894.19,-2463.88 \n",
       "  1897.05,-2480.66 1899.91,-2497.5 1902.77,-2514.39 1905.63,-2531.32 1908.48,-2548.31 1911.34,-2565.34 1914.2,-2582.42 1917.06,-2599.56 1919.92,-2616.74 1922.78,-2633.97 \n",
       "  1925.64,-2651.25 1928.49,-2668.58 1931.35,-2685.96 1934.21,-2703.39 1937.07,-2720.87 1939.93,-2738.4 1942.79,-2755.97 1945.65,-2773.6 1948.5,-2791.28 1951.36,-2809 \n",
       "  1954.22,-2826.78 1957.08,-2844.6 1959.94,-2862.47 1962.8,-2880.4 1965.66,-2898.37 1968.51,-2916.39 1971.37,-2934.46 1974.23,-2952.58 1977.09,-2970.75 1979.95,-2988.97 \n",
       "  1982.81,-3007.24 1985.67,-3025.56 1988.52,-3043.93 1991.38,-3062.34 1994.24,-3080.81 1997.1,-3099.32 1999.96,-3117.89 2002.82,-3136.5 2005.68,-3155.17 2008.53,-3173.88 \n",
       "  2011.39,-3192.64 2014.25,-3211.45 2017.11,-3230.31 2019.97,-3249.23 2022.83,-3268.19 2025.69,-3287.19 2028.54,-3306.25 2031.4,-3325.36 2034.26,-3344.52 2037.12,-3363.73 \n",
       "  2039.98,-3382.98 2042.84,-3402.29 2045.7,-3421.64 2048.55,-3441.05 2051.41,-3460.5 2054.27,-3480 2057.13,-3499.56 2059.99,-3519.16 2062.85,-3538.81 2065.71,-3558.51 \n",
       "  2068.56,-3578.26 2071.42,-3598.06 2074.28,-3617.91 2077.14,-3637.81 2080,-3657.76 2082.86,-3677.75 2085.72,-3697.8 2088.58,-3717.9 2091.43,-3738.04 2094.29,-3758.24 \n",
       "  2097.15,-3778.48 2100.01,-3798.77 2102.87,-3819.12 2105.73,-3839.51 2108.59,-3859.95 2111.44,-3880.44 2114.3,-3900.98 2117.16,-3921.57 2120.02,-3942.21 2122.88,-3962.9 \n",
       "  2125.74,-3983.64 2128.6,-4004.42 2131.45,-4025.26 2134.31,-4046.15 2137.17,-4067.08 2140.03,-4088.07 2142.89,-4109.1 2145.75,-4130.18 2148.61,-4151.32 2151.46,-4172.5 \n",
       "  2154.32,-4193.73 2157.18,-4215.01 2160.04,-4236.34 2162.9,-4257.72 2165.76,-4279.15 2168.62,-4300.63 2171.47,-4322.16 2174.33,-4343.74 2177.19,-4365.36 2180.05,-4387.04 \n",
       "  2182.91,-4408.76 2185.77,-4430.54 2188.63,-4452.36 2191.48,-4474.24 2194.34,-4496.16 2197.2,-4518.13 2200.06,-4540.15 2202.92,-4562.23 2205.78,-4584.35 2208.64,-4606.52 \n",
       "  2211.49,-4628.74 2214.35,-4651.01 2217.21,-4673.32 2220.07,-4695.69 2222.93,-4718.11 2225.79,-4740.57 2228.65,-4763.09 2231.5,-4785.66 2234.36,-4808.27 2237.22,-4830.93 \n",
       "  2240.08,-4853.65 2242.94,-4876.41 2245.8,-4899.22 2248.66,-4922.08 2251.51,-4944.99 2254.37,-4967.95 2257.23,-4990.96 2260.09,-5014.02 2262.95,-5037.13 2265.81,-5060.29 \n",
       "  2268.67,-5083.5 2271.52,-5106.75 2274.38,-5130.06 2277.24,-5153.41 2280.1,-5176.82 2282.96,-5200.27 2285.82,-5223.78 2288.68,-5247.33 2291.53,-5270.93 2294.39,-5294.58 \n",
       "  2297.25,-5318.28 2300.11,-5342.03 2302.97,-5365.83 2305.83,-5389.68 2308.69,-5413.58 2311.54,-5437.53 2314.4,-5461.53 2317.26,-5485.57 2320.12,-5509.67 2322.98,-5533.82 \n",
       "  2325.84,-5558.01 2328.7,-5582.25 2331.55,-5606.55 2334.41,-5630.89 2337.27,-5655.28 2340.13,-5679.73 2342.99,-5704.22 2345.85,-5728.76 2348.71,-5753.35 2351.56,-5777.99 \n",
       "  2354.42,-5802.68 2357.28,-5827.41 2360.14,-5852.2 2363,-5877.04 2365.86,-5901.92 2368.72,-5926.86 2371.57,-5951.84 2374.43,-5976.88 2377.29,-6001.96 2380.15,-6027.1 \n",
       "  2383.01,-6052.28 2385.87,-6077.51 2388.73,-6102.79 2391.59,-6128.12 2394.44,-6153.5 2397.3,-6178.93 2400.16,-6204.41 2403.02,-6229.94 2405.88,-6255.52 2408.74,-6281.14 \n",
       "  2411.6,-6306.82 2414.45,-6332.55 2417.31,-6358.32 2420.17,-6384.15 2423.03,-6410.02 2425.89,-6435.94 2428.75,-6461.92 2431.61,-6487.94 2434.46,-6514.01 2437.32,-6540.13 \n",
       "  2440.18,-6566.3 2443.04,-6592.52 2445.9,-6618.79 2448.76,-6645.11 2451.62,-6671.48 2454.47,-6697.89 2457.33,-6724.36 2460.19,-6750.88 2463.05,-6777.44 2465.91,-6804.06 \n",
       "  2468.77,-6830.72 2471.63,-6857.43 2474.48,-6884.2 2477.34,-6911.01 2480.2,-6937.87 2483.06,-6964.78 2485.92,-6991.74 2488.78,-7018.75 2491.64,-7045.81 2494.49,-7072.92 \n",
       "  2497.35,-7100.08 2500.21,-7127.29 2503.07,-7154.54 2505.93,-7181.85 2508.79,-7209.2 2511.65,-7236.61 2514.5,-7264.06 2517.36,-7291.57 2520.22,-7319.12 2523.08,-7346.72 \n",
       "  2525.94,-7374.37 2528.8,-7402.08 2531.66,-7429.83 2534.51,-7457.63 2537.37,-7485.48 2540.23,-7513.37 2543.09,-7541.32 2545.95,-7569.32 2548.81,-7597.37 2551.67,-7625.46 \n",
       "  2554.52,-7653.61 2557.38,-7681.8 2560.24,-7710.05 2563.1,-7738.34 2565.96,-7766.69 2568.82,-7795.08 2571.68,-7823.52 2574.53,-7852.01 2577.39,-7880.55 2580.25,-7909.14 \n",
       "  2583.11,-7937.78 2585.97,-7966.47 2588.83,-7995.21 2591.69,-8024 2594.54,-8052.84 2597.4,-8081.72 2600.26,-8110.66 2603.12,-8139.64 2605.98,-8168.68 2608.84,-8197.76 \n",
       "  2611.7,-8226.89 2614.55,-8256.08 2617.41,-8285.31 2620.27,-8314.59 2623.13,-8343.92 2625.99,-8373.3 2628.85,-8402.73 2631.71,-8432.21 2634.56,-8461.74 2637.42,-8491.32 \n",
       "  2640.28,-8520.95 2643.14,-8550.62 2646,-8580.35 2648.86,-8610.12 2651.72,-8639.95 2654.57,-8669.82 2657.43,-8699.75 2660.29,-8729.72 2663.15,-8759.74 2666.01,-8789.81 \n",
       "  2668.87,-8819.93 2671.73,-8850.11 2674.58,-8880.33 2677.44,-8910.59 2680.3,-8940.91 2683.16,-8971.28 2686.02,-9001.7 2688.88,-9032.17 2691.74,-9062.68 2694.59,-9093.25 \n",
       "  2697.45,-9123.86 2700.31,-9154.53 2703.17,-9185.24 2706.03,-9216 2708.89,-9246.82 2711.75,-9277.68 2714.61,-9308.59 2717.46,-9339.55 2720.32,-9370.56 2723.18,-9401.62 \n",
       "  2726.04,-9432.73 2728.9,-9463.89 2731.76,-9495.09 2734.62,-9526.35 2737.47,-9557.66 2740.33,-9589.01 2743.19,-9620.42 2746.05,-9651.87 2748.91,-9683.38 2751.77,-9714.93 \n",
       "  2754.63,-9746.53 2757.48,-9778.19 2760.34,-9809.89 2763.2,-9841.64 2766.06,-9873.44 2768.92,-9905.29 2771.78,-9937.19 2774.64,-9969.14 2777.49,-10001.1 2780.35,-10033.2 \n",
       "  2783.21,-10065.3 2786.07,-10097.4 2788.93,-10129.6 2791.79,-10161.9 2794.65,-10194.2 2797.5,-10226.5 2800.36,-10258.9 2803.22,-10291.3 2806.08,-10323.8 2808.94,-10356.4 \n",
       "  2811.8,-10389 2814.66,-10421.6 2817.51,-10454.3 2820.37,-10487 2823.23,-10519.8 2826.09,-10552.7 2828.95,-10585.5 2831.81,-10618.5 2834.67,-10651.5 2837.52,-10684.5 \n",
       "  2840.38,-10717.6 2843.24,-10750.7 2846.1,-10783.9 2848.96,-10817.1 2851.82,-10850.4 2854.68,-10883.7 2857.53,-10917.1 2860.39,-10950.6 2863.25,-10984 2866.11,-11017.6 \n",
       "  2868.97,-11051.1 2871.83,-11084.8 2874.69,-11118.4 2877.54,-11152.2 2880.4,-11185.9 2883.26,-11219.8 2886.12,-11253.6 2888.98,-11287.6 2891.84,-11321.5 2894.7,-11355.6 \n",
       "  2897.55,-11389.6 2900.41,-11423.8 2903.27,-11457.9 2906.13,-11492.1 2908.99,-11526.4 2911.85,-11560.7 2914.71,-11595.1 2917.56,-11629.5 2920.42,-11664 2923.28,-11698.5 \n",
       "  2926.14,-11733.1 2929,-11767.7 2931.86,-11802.4 2934.72,-11837.1 2937.57,-11871.8 2940.43,-11906.6 2943.29,-11941.5 2946.15,-11976.4 2949.01,-12011.4 2951.87,-12046.4 \n",
       "  2954.73,-12081.4 2957.58,-12116.6 2960.44,-12151.7 2963.3,-12186.9 2966.16,-12222.2 2969.02,-12257.5 2971.88,-12292.8 2974.74,-12328.2 2977.59,-12363.7 2980.45,-12399.2 \n",
       "  2983.31,-12434.8 2986.17,-12470.4 2989.03,-12506 2991.89,-12541.7 2994.75,-12577.5 2997.6,-12613.3 3000.46,-12649.1 3003.32,-12685 3006.18,-12721 3009.04,-12757 \n",
       "  3011.9,-12793 3014.76,-12829.1 3017.61,-12865.3 3020.47,-12901.5 3023.33,-12937.7 3026.19,-12974 3029.05,-13010.3 3031.91,-13046.7 3034.77,-13083.2 3037.63,-13119.7 \n",
       "  3040.48,-13156.2 3043.34,-13192.8 3046.2,-13229.4 3049.06,-13266.1 3051.92,-13302.9 3054.78,-13339.7 3057.64,-13376.5 3060.49,-13413.4 3063.35,-13450.3 3066.21,-13487.3 \n",
       "  3069.07,-13524.3 3071.93,-13561.4 3074.79,-13598.6 3077.65,-13635.7 3080.5,-13673 3083.36,-13710.2 3086.22,-13747.6 3089.08,-13785 3091.94,-13822.4 3094.8,-13859.9 \n",
       "  3097.66,-13897.4 3100.51,-13935 3103.37,-13972.6 3106.23,-14010.3 3109.09,-14048 3111.95,-14085.8 3114.81,-14123.6 3117.67,-14161.5 3120.52,-14199.4 3123.38,-14237.4 \n",
       "  3126.24,-14275.4 3129.1,-14313.5 3131.96,-14351.6 3134.82,-14389.8 3137.68,-14428 3140.53,-14466.3 3143.39,-14504.6 3146.25,-14542.9 3149.11,-14581.4 3151.97,-14619.8 \n",
       "  3154.83,-14658.4 3157.69,-14696.9 3160.54,-14735.5 3163.4,-14774.2 3166.26,-14812.9 3169.12,-14851.7 3171.98,-14890.5 3174.84,-14929.4 3177.7,-14968.3 3180.55,-15007.2 \n",
       "  3183.41,-15046.2 3186.27,-15085.3 3189.13,-15124.4 3191.99,-15163.6 3194.85,-15202.8 3197.71,-15242 3200.56,-15281.3 3203.42,-15320.7 3206.28,-15360.1 3209.14,-15399.6 \n",
       "  3212,-15439.1 3214.86,-15478.6 3217.72,-15518.2 3220.57,-15557.9 3223.43,-15597.6 3226.29,-15637.3 3229.15,-15677.1 3232.01,-15717 3234.87,-15756.9 3237.73,-15796.8 \n",
       "  3240.58,-15836.8 3243.44,-15876.9 3246.3,-15917 3249.16,-15957.1 3252.02,-15997.3 3254.88,-16037.5 3257.74,-16077.8 3260.59,-16118.2 3263.45,-16158.6 3266.31,-16199 \n",
       "  3269.17,-16239.5 3272.03,-16280.1 3274.89,-16320.6 3277.75,-16361.3 3280.6,-16402 3283.46,-16442.7 3286.32,-16483.5 3289.18,-16524.3 3292.04,-16565.2 3294.9,-16606.2 \n",
       "  3297.76,-16647.2 3300.61,-16688.2 3303.47,-16729.3 3306.33,-16770.4 3309.19,-16811.6 3312.05,-16852.8 3314.91,-16894.1 3317.77,-16935.4 3320.62,-16976.8 3323.48,-17018.3 \n",
       "  3326.34,-17059.7 3329.2,-17101.3 3332.06,-17142.8 3334.92,-17184.5 3337.78,-17226.1 3340.64,-17267.9 3343.49,-17309.6 3346.35,-17351.5 3349.21,-17393.3 3352.07,-17435.3 \n",
       "  3354.93,-17477.2 3357.79,-17519.3 3360.65,-17561.3 3363.5,-17603.5 3366.36,-17645.6 3369.22,-17687.9 3372.08,-17730.1 3374.94,-17772.4 3377.8,-17814.8 3380.66,-17857.2 \n",
       "  3383.51,-17899.7 3386.37,-17942.2 3389.23,-17984.8 3392.09,-18027.4 3394.95,-18070.1 3397.81,-18112.8 3400.67,-18155.5 3403.52,-18198.4 3406.38,-18241.2 3409.24,-18284.1 \n",
       "  3412.1,-18327.1 3414.96,-18370.1 3417.82,-18413.2 3420.68,-18456.3 3423.53,-18499.4 3426.39,-18542.6 3429.25,-18585.9 3432.11,-18629.2 3434.97,-18672.6 3437.83,-18716 \n",
       "  3440.69,-18759.4 3443.54,-18802.9 3446.4,-18846.5 3449.26,-18890.1 3452.12,-18933.7 3454.98,-18977.4 3457.84,-19021.2 3460.7,-19065 3463.55,-19108.8 3466.41,-19152.7 \n",
       "  3469.27,-19196.7 3472.13,-19240.7 3474.99,-19284.7 3477.85,-19328.8 3480.71,-19373 3483.56,-19417.2 3486.42,-19461.4 3489.28,-19505.7 3492.14,-19550.1 3495,-19594.5 \n",
       "  3497.86,-19638.9 3500.72,-19683.4 3503.57,-19727.9 3506.43,-19772.5 3509.29,-19817.2 3512.15,-19861.9 3515.01,-19906.6 3517.87,-19951.4 3520.73,-19996.2 3523.58,-20041.1 \n",
       "  3526.44,-20086 3529.3,-20131 3532.16,-20176.1 3535.02,-20221.2 3537.88,-20266.3 3540.74,-20311.5 3543.59,-20356.7 3546.45,-20402 3549.31,-20447.3 3552.17,-20492.7 \n",
       "  3555.03,-20538.1 3557.89,-20583.6 3560.75,-20629.1 3563.6,-20674.7 3566.46,-20720.3 3569.32,-20766 3572.18,-20811.7 3575.04,-20857.5 3577.9,-20903.4 3580.76,-20949.2 \n",
       "  3583.61,-20995.2 3586.47,-21041.1 3589.33,-21087.1 3592.19,-21133.2 3595.05,-21179.3 3597.91,-21225.5 3600.77,-21271.7 3603.62,-21318 3606.48,-21364.3 3609.34,-21410.7 \n",
       "  3612.2,-21457.1 3615.06,-21503.6 3617.92,-21550.1 3620.78,-21596.7 3623.63,-21643.3 3626.49,-21689.9 3629.35,-21736.7 3632.21,-21783.4 3635.07,-21830.2 3637.93,-21877.1 \n",
       "  3640.79,-21924 3643.64,-21971 3646.5,-22018 3649.36,-22065 3652.22,-22112.2 3655.08,-22159.3 3657.94,-22206.5 3660.8,-22253.8 3663.66,-22301.1 3666.51,-22348.4 \n",
       "  3669.37,-22395.9 3672.23,-22443.3 3675.09,-22490.8 3677.95,-22538.4 3680.81,-22586 3683.67,-22633.6 3686.52,-22681.3 3689.38,-22729.1 3692.24,-22776.9 3695.1,-22824.7 \n",
       "  3697.96,-22872.6 3700.82,-22920.6 3703.68,-22968.6 3706.53,-23016.6 3709.39,-23064.7 3712.25,-23112.9 3715.11,-23161.1 3717.97,-23209.3 3720.83,-23257.6 3723.69,-23306 \n",
       "  3726.54,-23354.3 3729.4,-23402.8 3732.26,-23451.3 3735.12,-23499.8 3737.98,-23548.4 3740.84,-23597.1 3743.7,-23645.7 3746.55,-23694.5 3749.41,-23743.3 3752.27,-23792.1 \n",
       "  3755.13,-23841 3757.99,-23889.9 3760.85,-23938.9 3763.71,-23988 3766.56,-24037 3769.42,-24086.2 3772.28,-24135.4 3775.14,-24184.6 3778,-24233.9 3780.86,-24283.2 \n",
       "  3783.72,-24332.6 3786.57,-24382 3789.43,-24431.5 3792.29,-24481 3795.15,-24530.6 3798.01,-24580.2 3800.87,-24629.9 3803.73,-24679.6 3806.58,-24729.4 3809.44,-24779.3 \n",
       "  3812.3,-24829.1 3815.16,-24879.1 3818.02,-24929 3820.88,-24979 3823.74,-25029.1 3826.59,-25079.2 3829.45,-25129.4 3832.31,-25179.6 3835.17,-25229.9 3838.03,-25280.2 \n",
       "  3840.89,-25330.6 3843.75,-25381 3846.6,-25431.5 3849.46,-25482 3852.32,-25532.6 3855.18,-25583.2 3858.04,-25633.9 3860.9,-25684.6 3863.76,-25735.3 3866.61,-25786.1 \n",
       "  3869.47,-25837 3872.33,-25887.9 3875.19,-25938.9 3878.05,-25989.9 3880.91,-26041 3883.77,-26092.1 3886.62,-26143.2 3889.48,-26194.4 3892.34,-26245.7 3895.2,-26297 \n",
       "  3898.06,-26348.4 3900.92,-26399.8 3903.78,-26451.2 3906.63,-26502.7 3909.49,-26554.3 3912.35,-26605.9 3915.21,-26657.5 3918.07,-26709.2 3920.93,-26761 3923.79,-26812.8 \n",
       "  3926.64,-26864.6 3929.5,-26916.5 3932.36,-26968.5 3935.22,-27020.5 3938.08,-27072.5 3940.94,-27124.6 3943.8,-27176.8 3946.65,-27229 3949.51,-27281.2 3952.37,-27333.5 \n",
       "  3955.23,-27385.9 3958.09,-27438.3 3960.95,-27490.7 3963.81,-27543.2 3966.66,-27595.7 3969.52,-27648.3 3972.38,-27701 3975.24,-27753.7 3978.1,-27806.4 3980.96,-27859.2 \n",
       "  3983.82,-27912 3986.68,-27964.9 3989.53,-28017.9 3992.39,-28070.8 3995.25,-28123.9 3998.11,-28177 4000.97,-28230.1 4003.83,-28283.3 4006.69,-28336.5 4009.54,-28389.8 \n",
       "  4012.4,-28443.1 4015.26,-28496.5 4018.12,-28549.9 4020.98,-28603.4 4023.84,-28657 4026.7,-28710.5 4029.55,-28764.2 4032.41,-28817.8 4035.27,-28871.6 4038.13,-28925.3 \n",
       "  4040.99,-28979.2 4043.85,-29033 4046.71,-29087 4049.56,-29140.9 4052.42,-29195 4055.28,-29249 4058.14,-29303.2 4061,-29357.3 4063.86,-29411.6 4066.72,-29465.8 \n",
       "  4069.57,-29520.1 4072.43,-29574.5 4075.29,-29628.9 4078.15,-29683.4 4081.01,-29737.9 4083.87,-29792.5 4086.73,-29847.1 4089.58,-29901.8 4092.44,-29956.5 4095.3,-30011.3 \n",
       "  4098.16,-30066.1 4101.02,-30120.9 4103.88,-30175.8 4106.74,-30230.8 4109.59,-30285.8 4112.45,-30340.9 4115.31,-30396 4118.17,-30451.1 4121.03,-30506.4 4123.89,-30561.6 \n",
       "  4126.75,-30616.9 4129.6,-30672.3 4132.46,-30727.7 4135.32,-30783.1 4138.18,-30838.6 4141.04,-30894.2 4143.9,-30949.8 4146.76,-31005.5 4149.61,-31061.2 4152.47,-31116.9 \n",
       "  4155.33,-31172.7 4158.19,-31228.6 4161.05,-31284.5 4163.91,-31340.4 4166.77,-31396.4 4169.62,-31452.5 4172.48,-31508.6 4175.34,-31564.7 4178.2,-31620.9 4181.06,-31677.2 \n",
       "  4183.92,-31733.5 4186.78,-31789.8 4189.63,-31846.2 4192.49,-31902.6 4195.35,-31959.1 4198.21,-32015.7 4201.07,-32072.3 4203.93,-32128.9 4206.79,-32185.6 4209.64,-32242.3 \n",
       "  4212.5,-32299.1 4215.36,-32356 4218.22,-32412.9 4221.08,-32469.8 4223.94,-32526.8 4226.8,-32583.8 4229.65,-32640.9 4232.51,-32698 4235.37,-32755.2 4238.23,-32812.5 \n",
       "  4241.09,-32869.7 4243.95,-32927.1 4246.81,-32984.4 4249.66,-33041.9 4252.52,-33099.4 4255.38,-33156.9 4258.24,-33214.5 4261.1,-33272.1 4263.96,-33329.8 4266.82,-33387.5 \n",
       "  4269.67,-33445.3 4272.53,-33503.1 4275.39,-33561 4278.25,-33618.9 4281.11,-33676.9 4283.97,-33734.9 4286.83,-33793 4289.68,-33851.1 4292.54,-33909.3 4295.4,-33967.5 \n",
       "  4298.26,-34025.8 4301.12,-34084.1 4303.98,-34142.5 4306.84,-34200.9 4309.7,-34259.3 4312.55,-34317.9 4315.41,-34376.4 4318.27,-34435 4321.13,-34493.7 4323.99,-34552.4 \n",
       "  4326.85,-34611.2 4329.71,-34670 4332.56,-34728.9 4335.42,-34787.8 4338.28,-34846.7 4341.14,-34905.8 4344,-34964.8 4346.86,-35023.9 4349.72,-35083.1 4352.57,-35142.3 \n",
       "  4355.43,-35201.6 4358.29,-35260.9 4361.15,-35320.2 4364.01,-35379.6 4366.87,-35439.1 4369.73,-35498.6 4372.58,-35558.2 4375.44,-35617.8 4378.3,-35677.4 4381.16,-35737.1 \n",
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       "  382,-982.468 384.859,-969.117 387.717,-955.813 390.576,-942.556 393.435,-929.346 396.293,-916.183 399.152,-903.067 402.01,-889.998 404.869,-876.976 407.727,-864.001 \n",
       "  410.586,-851.073 413.445,-838.192 416.303,-825.358 419.162,-812.571 422.02,-799.831 424.879,-787.137 427.738,-774.491 430.596,-761.892 433.455,-749.34 436.313,-736.834 \n",
       "  439.172,-724.376 442.031,-711.965 444.889,-699.6 447.748,-687.283 450.606,-675.013 453.465,-662.789 456.323,-650.613 459.182,-638.483 462.041,-626.401 464.899,-614.365 \n",
       "  467.758,-602.377 470.616,-590.435 473.475,-578.541 476.334,-566.693 479.192,-554.893 482.051,-543.139 484.909,-531.432 487.768,-519.773 490.626,-508.16 493.485,-496.594 \n",
       "  496.344,-485.075 499.202,-473.604 502.061,-462.179 504.919,-450.801 507.778,-439.47 510.637,-428.186 513.495,-416.949 516.354,-405.76 519.212,-394.617 522.071,-383.521 \n",
       "  524.929,-372.472 527.788,-361.47 530.647,-350.515 533.505,-339.607 536.364,-328.746 539.222,-317.932 542.081,-307.164 544.94,-296.444 547.798,-285.771 550.657,-275.145 \n",
       "  553.515,-264.566 556.374,-254.034 559.232,-243.548 562.091,-233.11 564.95,-222.719 567.808,-212.374 570.667,-202.077 573.525,-191.827 576.384,-181.623 579.243,-171.467 \n",
       "  582.101,-161.358 584.96,-151.295 587.818,-141.28 590.677,-131.311 593.535,-121.39 596.394,-111.515 599.253,-101.688 602.111,-91.9069 604.97,-82.1733 607.828,-72.4867 \n",
       "  610.687,-62.847 613.546,-53.2544 616.404,-43.7087 619.263,-34.2099 622.121,-24.7582 624.98,-15.3534 627.838,-5.99566 630.697,3.31515 633.556,12.579 636.414,21.7958 \n",
       "  639.273,30.9657 642.131,40.0886 644.99,49.1645 647.849,58.1935 650.707,67.1754 653.566,76.1104 656.424,84.9984 659.283,93.8395 662.141,102.634 665,111.381 \n",
       "  667.859,120.081 670.717,128.734 673.576,137.34 676.434,145.899 679.293,154.411 682.152,162.877 685.01,171.295 687.869,179.666 690.727,187.99 693.586,196.268 \n",
       "  696.445,204.498 699.303,212.681 702.162,220.818 705.02,228.907 707.879,236.95 710.737,244.945 713.596,252.893 716.455,260.795 719.313,268.649 722.172,276.457 \n",
       "  725.03,284.217 727.889,291.931 730.748,299.598 733.606,307.217 736.465,314.79 739.323,322.316 742.182,329.794 745.04,337.226 747.899,344.611 750.758,351.948 \n",
       "  753.616,359.239 756.475,366.483 759.333,373.68 762.192,380.83 765.051,387.933 767.909,394.988 770.768,401.997 773.626,408.959 776.485,415.874 779.343,422.742 \n",
       "  782.202,429.563 785.061,436.337 787.919,443.064 790.778,449.744 793.636,456.378 796.495,462.964 799.354,469.503 802.212,475.995 805.071,482.44 807.929,488.838 \n",
       "  810.788,495.19 813.646,501.494 816.505,507.751 819.364,513.961 822.222,520.125 825.081,526.241 827.939,532.31 830.798,538.333 833.657,544.308 836.515,550.237 \n",
       "  839.374,556.118 842.232,561.953 845.091,567.74 847.949,573.481 850.808,579.174 853.667,584.821 856.525,590.42 859.384,595.973 862.242,601.479 865.101,606.937 \n",
       "  867.96,612.349 870.818,617.714 873.677,623.031 876.535,628.302 879.394,633.526 882.252,638.703 885.111,643.832 887.97,648.915 890.828,653.951 893.687,658.94 \n",
       "  896.545,663.882 899.404,668.777 902.263,673.625 905.121,678.426 907.98,683.18 910.838,687.887 913.697,692.547 916.556,697.16 919.414,701.726 922.273,706.245 \n",
       "  925.131,710.717 927.99,715.142 930.848,719.521 933.707,723.852 936.566,728.136 939.424,732.373 942.283,736.564 945.141,740.707 948,744.803 950.859,748.852 \n",
       "  953.717,752.855 956.576,756.81 959.434,760.719 962.293,764.58 965.151,768.395 968.01,772.162 970.869,775.882 973.727,779.556 976.586,783.183 979.444,786.762 \n",
       "  982.303,790.295 985.162,793.78 988.02,797.219 990.879,800.611 993.737,803.955 996.596,807.253 999.454,810.504 1002.31,813.707 1005.17,816.864 1008.03,819.974 \n",
       "  1010.89,823.037 1013.75,826.053 1016.61,829.021 1019.46,831.943 1022.32,834.818 1025.18,837.646 1028.04,840.427 1030.9,843.161 1033.76,845.848 1036.62,848.488 \n",
       "  1039.47,851.081 1042.33,853.627 1045.19,856.126 1048.05,858.578 1050.91,860.983 1053.77,863.342 1056.63,865.653 1059.48,867.917 1062.34,870.134 1065.2,872.304 \n",
       "  1068.06,874.428 1070.92,876.504 1073.78,878.533 1076.64,880.516 1079.49,882.451 1082.35,884.339 1085.21,886.181 1088.07,887.975 1090.93,889.723 1093.79,891.423 \n",
       "  1096.65,893.077 1099.5,894.683 1102.36,896.243 1105.22,897.755 1108.08,899.221 1110.94,900.639 1113.8,902.011 1116.66,903.336 1119.51,904.613 1122.37,905.844 \n",
       "  1125.23,907.028 1128.09,908.164 1130.95,909.254 1133.81,910.297 1136.67,911.293 1139.53,912.242 1142.38,913.143 1145.24,913.998 1148.1,914.806 1150.96,915.567 \n",
       "  1153.82,916.281 1156.68,916.948 1159.54,917.568 1162.39,918.141 1165.25,918.667 1168.11,919.146 1170.97,919.578 1173.83,919.963 1176.69,920.301 1179.55,920.592 \n",
       "  1182.4,920.837 1185.26,921.034 1188.12,921.184 1190.98,921.287 1193.84,921.343 1196.7,921.353 1199.56,921.315 1202.41,921.23 1205.27,921.099 1208.13,920.92 \n",
       "  1210.99,920.694 1213.85,920.422 1216.71,920.102 1219.57,919.736 1222.42,919.322 1225.28,918.862 1228.14,918.354 1231,917.8 1233.86,917.198 1236.72,916.55 \n",
       "  1239.58,915.855 1242.43,915.112 1245.29,914.323 1248.15,913.487 1251.01,912.603 1253.87,911.673 1256.73,910.696 1259.59,909.672 1262.44,908.6 1265.3,907.482 \n",
       "  1268.16,906.317 1271.02,905.105 1273.88,903.846 1276.74,902.54 1279.6,901.187 1282.45,899.787 1285.31,898.34 1288.17,896.846 1291.03,895.305 1293.89,893.717 \n",
       "  1296.75,892.082 1299.61,890.4 1302.46,888.671 1305.32,886.895 1308.18,885.072 1311.04,883.202 1313.9,881.285 1316.76,879.322 1319.62,877.311 1322.47,875.253 \n",
       "  1325.33,873.149 1328.19,870.997 1331.05,868.798 1333.91,866.553 1336.77,864.26 1339.63,861.92 1342.48,859.534 1345.34,857.1 1348.2,854.62 1351.06,852.092 \n",
       "  1353.92,849.518 1356.78,846.896 1359.64,844.228 1362.49,841.512 1365.35,838.75 1368.21,835.941 1371.07,833.084 1373.93,830.181 1376.79,827.231 1379.65,824.233 \n",
       "  1382.5,821.189 1385.36,818.098 1388.22,814.96 1391.08,811.774 1393.94,808.542 1396.8,805.263 1399.66,801.937 1402.51,798.564 1405.37,795.144 1408.23,791.677 \n",
       "  1411.09,788.163 1413.95,784.602 1416.81,780.994 1419.67,777.339 1422.52,773.637 1425.38,769.888 1428.24,766.092 1431.1,762.249 1433.96,758.359 1436.82,754.422 \n",
       "  1439.68,750.439 1442.54,746.408 1445.39,742.33 1448.25,738.205 1451.11,734.034 1453.97,729.815 1456.83,725.549 1459.69,721.237 1462.55,716.877 1465.4,712.47 \n",
       "  1468.26,708.017 1471.12,703.516 1473.98,698.969 1476.84,694.374 1479.7,689.733 1482.56,685.044 1485.41,680.309 1488.27,675.526 1491.13,670.697 1493.99,665.821 \n",
       "  1496.85,660.897 1499.71,655.927 1502.57,650.91 1505.42,645.845 1508.28,640.734 1511.14,635.576 1514,630.371 1516.86,625.118 1519.72,619.819 1522.58,614.473 \n",
       "  1525.43,609.08 1528.29,603.64 1531.15,598.153 1534.01,592.619 1536.87,587.038 1539.73,581.41 1542.59,575.735 1545.44,570.013 1548.3,564.244 1551.16,558.428 \n",
       "  1554.02,552.565 1556.88,546.655 1559.74,540.698 1562.6,534.694 1565.45,528.644 1568.31,522.546 1571.17,516.401 1574.03,510.209 1576.89,503.971 1579.75,497.685 \n",
       "  1582.61,491.352 1585.46,484.972 1588.32,478.546 1591.18,472.072 1594.04,465.552 1596.9,458.984 1599.76,452.37 1602.62,445.708 1605.47,439 1608.33,432.244 \n",
       "  1611.19,425.442 1614.05,418.592 1616.91,411.696 1619.77,404.752 1622.63,397.762 1625.48,390.725 1628.34,383.64 1631.2,376.509 1634.06,369.331 1636.92,362.106 \n",
       "  1639.78,354.833 1642.64,347.514 1645.49,340.148 1648.35,332.735 1651.21,325.275 1654.07,317.768 1656.93,310.213 1659.79,302.612 1662.65,294.964 1665.5,287.269 \n",
       "  1668.36,279.527 1671.22,271.738 1674.08,263.902 1676.94,256.019 1679.8,248.09 1682.66,240.113 1685.51,232.089 1688.37,224.018 1691.23,215.9 1694.09,207.735 \n",
       "  1696.95,199.524 1699.81,191.265 1702.67,182.959 1705.52,174.606 1708.38,166.207 1711.24,157.76 1714.1,149.266 1716.96,140.726 1719.82,132.138 1722.68,123.504 \n",
       "  1725.53,114.822 1728.39,106.093 1731.25,97.318 1734.11,88.4955 1736.97,79.626 1739.83,70.7096 1742.69,61.7462 1745.54,52.7358 1748.4,43.6784 1751.26,34.5741 \n",
       "  1754.12,25.4227 1756.98,16.2244 1759.84,6.97915 1762.7,-2.3131 1765.56,-11.6523 1768.41,-21.0386 1771.27,-30.4717 1774.13,-39.9519 1776.99,-49.479 1779.85,-59.0532 \n",
       "  1782.71,-68.6743 1785.57,-78.3423 1788.42,-88.0574 1791.28,-97.8194 1794.14,-107.628 1797,-117.484 1799.86,-127.387 1802.72,-137.337 1805.58,-147.334 1808.43,-157.378 \n",
       "  1811.29,-167.469 1814.15,-177.607 1817.01,-187.792 1819.87,-198.024 1822.73,-208.302 1825.59,-218.628 1828.44,-229.001 1831.3,-239.42 1834.16,-249.887 1837.02,-260.401 \n",
       "  1839.88,-270.962 1842.74,-281.569 1845.6,-292.224 1848.45,-302.925 1851.31,-313.674 1854.17,-324.469 1857.03,-335.312 1859.89,-346.201 1862.75,-357.138 1865.61,-368.121 \n",
       "  1868.46,-379.152 1871.32,-390.229 1874.18,-401.354 1877.04,-412.525 1879.9,-423.743 1882.76,-435.009 1885.62,-446.321 1888.47,-457.68 1891.33,-469.086 1894.19,-480.54 \n",
       "  1897.05,-492.04 1899.91,-503.587 1902.77,-515.181 1905.63,-526.822 1908.48,-538.51 1911.34,-550.245 1914.2,-562.027 1917.06,-573.856 1919.92,-585.732 1922.78,-597.655 \n",
       "  1925.64,-609.625 1928.49,-621.642 1931.35,-633.706 1934.21,-645.817 1937.07,-657.975 1939.93,-670.18 1942.79,-682.432 1945.65,-694.731 1948.5,-707.076 1951.36,-719.469 \n",
       "  1954.22,-731.909 1957.08,-744.396 1959.94,-756.929 1962.8,-769.51 1965.66,-782.138 1968.51,-794.812 1971.37,-807.534 1974.23,-820.302 1977.09,-833.118 1979.95,-845.981 \n",
       "  1982.81,-858.89 1985.67,-871.847 1988.52,-884.85 1991.38,-897.901 1994.24,-910.998 1997.1,-924.142 1999.96,-937.334 2002.82,-950.572 2005.68,-963.857 2008.53,-977.19 \n",
       "  2011.39,-990.569 2014.25,-1004 2017.11,-1017.47 2019.97,-1030.99 2022.83,-1044.56 2025.69,-1058.17 2028.54,-1071.83 2031.4,-1085.54 2034.26,-1099.29 2037.12,-1113.1 \n",
       "  2039.98,-1126.95 2042.84,-1140.84 2045.7,-1154.78 2048.55,-1168.77 2051.41,-1182.81 2054.27,-1196.9 2057.13,-1211.03 2059.99,-1225.2 2062.85,-1239.43 2065.71,-1253.7 \n",
       "  2068.56,-1268.02 2071.42,-1282.39 2074.28,-1296.8 2077.14,-1311.26 2080,-1325.77 2082.86,-1340.32 2085.72,-1354.92 2088.58,-1369.57 2091.43,-1384.26 2094.29,-1399 \n",
       "  2097.15,-1413.79 2100.01,-1428.63 2102.87,-1443.51 2105.73,-1458.44 2108.59,-1473.42 2111.44,-1488.44 2114.3,-1503.51 2117.16,-1518.63 2120.02,-1533.79 2122.88,-1549 \n",
       "  2125.74,-1564.26 2128.6,-1579.57 2131.45,-1594.92 2134.31,-1610.32 2137.17,-1625.77 2140.03,-1641.26 2142.89,-1656.8 2145.75,-1672.39 2148.61,-1688.02 2151.46,-1703.7 \n",
       "  2154.32,-1719.43 2157.18,-1735.21 2160.04,-1751.03 2162.9,-1766.9 2165.76,-1782.81 2168.62,-1798.78 2171.47,-1814.79 2174.33,-1830.84 2177.19,-1846.95 2180.05,-1863.1 \n",
       "  2182.91,-1879.3 2185.77,-1895.54 2188.63,-1911.83 2191.48,-1928.17 2194.34,-1944.56 2197.2,-1960.99 2200.06,-1977.47 2202.92,-1994 2205.78,-2010.57 2208.64,-2027.19 \n",
       "  2211.49,-2043.86 2214.35,-2060.57 2217.21,-2077.33 2220.07,-2094.14 2222.93,-2111 2225.79,-2127.9 2228.65,-2144.85 2231.5,-2161.85 2234.36,-2178.89 2237.22,-2195.98 \n",
       "  2240.08,-2213.12 2242.94,-2230.3 2245.8,-2247.54 2248.66,-2264.81 2251.51,-2282.14 2254.37,-2299.51 2257.23,-2316.93 2260.09,-2334.4 2262.95,-2351.91 2265.81,-2369.47 \n",
       "  2268.67,-2387.08 2271.52,-2404.73 2274.38,-2422.43 2277.24,-2440.18 2280.1,-2457.98 2282.96,-2475.82 2285.82,-2493.71 2288.68,-2511.64 2291.53,-2529.63 2294.39,-2547.66 \n",
       "  2297.25,-2565.73 2300.11,-2583.86 2302.97,-2602.03 2305.83,-2620.25 2308.69,-2638.51 2311.54,-2656.82 2314.4,-2675.18 2317.26,-2693.59 2320.12,-2712.04 2322.98,-2730.54 \n",
       "  2325.84,-2749.09 2328.7,-2767.68 2331.55,-2786.32 2334.41,-2805.01 2337.27,-2823.75 2340.13,-2842.53 2342.99,-2861.36 2345.85,-2880.23 2348.71,-2899.15 2351.56,-2918.12 \n",
       "  2354.42,-2937.14 2357.28,-2956.2 2360.14,-2975.31 2363,-2994.47 2365.86,-3013.68 2368.72,-3032.93 2371.57,-3052.23 2374.43,-3071.57 2377.29,-3090.96 2380.15,-3110.4 \n",
       "  2383.01,-3129.89 2385.87,-3149.42 2388.73,-3169 2391.59,-3188.63 2394.44,-3208.31 2397.3,-3228.03 2400.16,-3247.79 2403.02,-3267.61 2405.88,-3287.47 2408.74,-3307.38 \n",
       "  2411.6,-3327.34 2414.45,-3347.34 2417.31,-3367.39 2420.17,-3387.49 2423.03,-3407.63 2425.89,-3427.82 2428.75,-3448.06 2431.61,-3468.35 2434.46,-3488.68 2437.32,-3509.06 \n",
       "  2440.18,-3529.48 2443.04,-3549.96 2445.9,-3570.48 2448.76,-3591.04 2451.62,-3611.66 2454.47,-3632.32 2457.33,-3653.02 2460.19,-3673.78 2463.05,-3694.58 2465.91,-3715.43 \n",
       "  2468.77,-3736.33 2471.63,-3757.27 2474.48,-3778.26 2477.34,-3799.29 2480.2,-3820.38 2483.06,-3841.51 2485.92,-3862.69 2488.78,-3883.91 2491.64,-3905.18 2494.49,-3926.5 \n",
       "  2497.35,-3947.87 2500.21,-3969.28 2503.07,-3990.74 2505.93,-4012.24 2508.79,-4033.8 2511.65,-4055.4 2514.5,-4077.05 2517.36,-4098.74 2520.22,-4120.48 2523.08,-4142.27 \n",
       "  2525.94,-4164.1 2528.8,-4185.99 2531.66,-4207.92 2534.51,-4229.89 2537.37,-4251.92 2540.23,-4273.99 2543.09,-4296.1 2545.95,-4318.27 2548.81,-4340.48 2551.67,-4362.74 \n",
       "  2554.52,-4385.04 2557.38,-4407.39 2560.24,-4429.79 2563.1,-4452.24 2565.96,-4474.73 2568.82,-4497.27 2571.68,-4519.86 2574.53,-4542.49 2577.39,-4565.17 2580.25,-4587.9 \n",
       "  2583.11,-4610.67 2585.97,-4633.5 2588.83,-4656.36 2591.69,-4679.28 2594.54,-4702.24 2597.4,-4725.25 2600.26,-4748.31 2603.12,-4771.41 2605.98,-4794.56 2608.84,-4817.76 \n",
       "  2611.7,-4841.01 2614.55,-4864.3 2617.41,-4887.64 2620.27,-4911.02 2623.13,-4934.45 2625.99,-4957.93 2628.85,-4981.46 2631.71,-5005.03 2634.56,-5028.65 2637.42,-5052.32 \n",
       "  2640.28,-5076.04 2643.14,-5099.8 2646,-5123.6 2648.86,-5147.46 2651.72,-5171.36 2654.57,-5195.31 2657.43,-5219.31 2660.29,-5243.35 2663.15,-5267.44 2666.01,-5291.58 \n",
       "  2668.87,-5315.76 2671.73,-5339.99 2674.58,-5364.27 2677.44,-5388.6 2680.3,-5412.97 2683.16,-5437.39 2686.02,-5461.85 2688.88,-5486.37 2691.74,-5510.93 2694.59,-5535.53 \n",
       "  2697.45,-5560.19 2700.31,-5584.89 2703.17,-5609.64 2706.03,-5634.43 2708.89,-5659.27 2711.75,-5684.16 2714.61,-5709.1 2717.46,-5734.08 2720.32,-5759.11 2723.18,-5784.19 \n",
       "  2726.04,-5809.31 2728.9,-5834.48 2731.76,-5859.7 2734.62,-5884.96 2737.47,-5910.27 2740.33,-5935.63 2743.19,-5961.04 2746.05,-5986.49 2748.91,-6011.99 2751.77,-6037.54 \n",
       "  2754.63,-6063.13 2757.48,-6088.77 2760.34,-6114.46 2763.2,-6140.19 2766.06,-6165.97 2768.92,-6191.8 2771.78,-6217.68 2774.64,-6243.6 2777.49,-6269.57 2780.35,-6295.58 \n",
       "  2783.21,-6321.65 2786.07,-6347.76 2788.93,-6373.92 2791.79,-6400.12 2794.65,-6426.37 2797.5,-6452.67 2800.36,-6479.01 2803.22,-6505.41 2806.08,-6531.84 2808.94,-6558.33 \n",
       "  2811.8,-6584.86 2814.66,-6611.44 2817.51,-6638.07 2820.37,-6664.74 2823.23,-6691.47 2826.09,-6718.23 2828.95,-6745.05 2831.81,-6771.91 2834.67,-6798.82 2837.52,-6825.77 \n",
       "  2840.38,-6852.78 2843.24,-6879.83 2846.1,-6906.92 2848.96,-6934.07 2851.82,-6961.26 2854.68,-6988.5 2857.53,-7015.78 2860.39,-7043.11 2863.25,-7070.49 2866.11,-7097.92 \n",
       "  2868.97,-7125.39 2871.83,-7152.91 2874.69,-7180.47 2877.54,-7208.09 2880.4,-7235.75 2883.26,-7263.46 2886.12,-7291.21 2888.98,-7319.01 2891.84,-7346.86 2894.7,-7374.76 \n",
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       "  2954.73,-7971.41 2957.58,-8000.34 2960.44,-8029.31 2963.3,-8058.34 2966.16,-8087.41 2969.02,-8116.52 2971.88,-8145.69 2974.74,-8174.9 2977.59,-8204.15 2980.45,-8233.46 \n",
       "  2983.31,-8262.81 2986.17,-8292.21 2989.03,-8321.66 2991.89,-8351.15 2994.75,-8380.69 2997.6,-8410.27 3000.46,-8439.91 3003.32,-8469.59 3006.18,-8499.32 3009.04,-8529.09 \n",
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       "  3040.48,-8859.71 3043.34,-8890.05 3046.2,-8920.43 3049.06,-8950.86 3051.92,-8981.34 3054.78,-9011.87 3057.64,-9042.44 3060.49,-9073.06 3063.35,-9103.73 3066.21,-9134.44 \n",
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       "  3097.66,-9475.4 3100.51,-9506.68 3103.37,-9538 3106.23,-9569.37 3109.09,-9600.79 3111.95,-9632.26 3114.81,-9663.77 3117.67,-9695.33 3120.52,-9726.93 3123.38,-9758.59 \n",
       "  3126.24,-9790.29 3129.1,-9822.04 3131.96,-9853.83 3134.82,-9885.67 3137.68,-9917.56 3140.53,-9949.5 3143.39,-9981.48 3146.25,-10013.5 3149.11,-10045.6 3151.97,-10077.7 \n",
       "  3154.83,-10109.9 3157.69,-10142.1 3160.54,-10174.4 3163.4,-10206.7 3166.26,-10239 3169.12,-10271.4 3171.98,-10303.9 3174.84,-10336.4 3177.7,-10368.9 3180.55,-10401.5 \n",
       "  3183.41,-10434.2 3186.27,-10466.9 3189.13,-10499.6 3191.99,-10532.4 3194.85,-10565.2 3197.71,-10598.1 3200.56,-10631 3203.42,-10664 3206.28,-10697 3209.14,-10730 \n",
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       "  3240.58,-11096.8 3243.44,-11130.5 3246.3,-11164.1 3249.16,-11197.9 3252.02,-11231.6 3254.88,-11265.4 3257.74,-11299.3 3260.59,-11333.2 3263.45,-11367.2 3266.31,-11401.2 \n",
       "  3269.17,-11435.2 3272.03,-11469.3 3274.89,-11503.4 3277.75,-11537.6 3280.6,-11571.9 3283.46,-11606.2 3286.32,-11640.5 3289.18,-11674.9 3292.04,-11709.3 3294.9,-11743.8 \n",
       "  3297.76,-11778.3 3300.61,-11812.9 3303.47,-11847.5 3306.33,-11882.1 3309.19,-11916.8 3312.05,-11951.6 3314.91,-11986.4 3317.77,-12021.2 3320.62,-12056.1 3323.48,-12091.1 \n",
       "  3326.34,-12126.1 3329.2,-12161.1 3332.06,-12196.2 3334.92,-12231.3 3337.78,-12266.5 3340.64,-12301.7 3343.49,-12337 3346.35,-12372.3 3349.21,-12407.7 3352.07,-12443.1 \n",
       "  3354.93,-12478.5 3357.79,-12514 3360.65,-12549.6 3363.5,-12585.2 3366.36,-12620.8 3369.22,-12656.5 3372.08,-12692.3 3374.94,-12728.1 3377.8,-12763.9 3380.66,-12799.8 \n",
       "  3383.51,-12835.7 3386.37,-12871.7 3389.23,-12907.7 3392.09,-12943.8 3394.95,-12979.9 3397.81,-13016.1 3400.67,-13052.3 3403.52,-13088.5 3406.38,-13124.8 3409.24,-13161.2 \n",
       "  3412.1,-13197.6 3414.96,-13234 3417.82,-13270.5 3420.68,-13307.1 3423.53,-13343.6 3426.39,-13380.3 3429.25,-13416.9 3432.11,-13453.7 3434.97,-13490.5 3437.83,-13527.3 \n",
       "  3440.69,-13564.1 3443.54,-13601.1 3446.4,-13638 3449.26,-13675 3452.12,-13712.1 3454.98,-13749.2 3457.84,-13786.3 3460.7,-13823.5 3463.55,-13860.8 3466.41,-13898.1 \n",
       "  3469.27,-13935.4 3472.13,-13972.8 3474.99,-14010.2 3477.85,-14047.7 3480.71,-14085.2 3483.56,-14122.8 3486.42,-14160.4 3489.28,-14198.1 3492.14,-14235.8 3495,-14273.6 \n",
       "  3497.86,-14311.4 3500.72,-14349.2 3503.57,-14387.1 3506.43,-14425.1 3509.29,-14463.1 3512.15,-14501.1 3515.01,-14539.2 3517.87,-14577.3 3520.73,-14615.5 3523.58,-14653.7 \n",
       "  3526.44,-14692 3529.3,-14730.3 3532.16,-14768.7 3535.02,-14807.1 3537.88,-14845.6 3540.74,-14884.1 3543.59,-14922.7 3546.45,-14961.3 3549.31,-14999.9 3552.17,-15038.6 \n",
       "  3555.03,-15077.4 3557.89,-15116.2 3560.75,-15155 3563.6,-15193.9 3566.46,-15232.8 3569.32,-15271.8 3572.18,-15310.9 3575.04,-15349.9 3577.9,-15389.1 3580.76,-15428.2 \n",
       "  3583.61,-15467.4 3586.47,-15506.7 3589.33,-15546 3592.19,-15585.4 3595.05,-15624.8 3597.91,-15664.2 3600.77,-15703.7 3603.62,-15743.3 3606.48,-15782.9 3609.34,-15822.5 \n",
       "  3612.2,-15862.2 3615.06,-15901.9 3617.92,-15941.7 3620.78,-15981.5 3623.63,-16021.4 3626.49,-16061.3 3629.35,-16101.3 3632.21,-16141.3 3635.07,-16181.4 3637.93,-16221.5 \n",
       "  3640.79,-16261.6 3643.64,-16301.8 3646.5,-16342.1 3649.36,-16382.4 3652.22,-16422.7 3655.08,-16463.1 3657.94,-16503.6 3660.8,-16544.1 3663.66,-16584.6 3666.51,-16625.2 \n",
       "  3669.37,-16665.8 3672.23,-16706.5 3675.09,-16747.2 3677.95,-16787.9 3680.81,-16828.8 3683.67,-16869.6 3686.52,-16910.5 3689.38,-16951.5 3692.24,-16992.5 3695.1,-17033.5 \n",
       "  3697.96,-17074.6 3700.82,-17115.8 3703.68,-17157 3706.53,-17198.2 3709.39,-17239.5 3712.25,-17280.8 3715.11,-17322.2 3717.97,-17363.6 3720.83,-17405.1 3723.69,-17446.6 \n",
       "  3726.54,-17488.2 3729.4,-17529.8 3732.26,-17571.4 3735.12,-17613.2 3737.98,-17654.9 3740.84,-17696.7 3743.7,-17738.6 3746.55,-17780.5 3749.41,-17822.4 3752.27,-17864.4 \n",
       "  3755.13,-17906.4 3757.99,-17948.5 3760.85,-17990.6 3763.71,-18032.8 3766.56,-18075 3769.42,-18117.3 3772.28,-18159.6 3775.14,-18202 3778,-18244.4 3780.86,-18286.9 \n",
       "  3783.72,-18329.4 3786.57,-18371.9 3789.43,-18414.5 3792.29,-18457.2 3795.15,-18499.8 3798.01,-18542.6 3800.87,-18585.4 3803.73,-18628.2 3806.58,-18671.1 3809.44,-18714 \n",
       "  3812.3,-18757 3815.16,-18800 3818.02,-18843.1 3820.88,-18886.2 3823.74,-18929.4 3826.59,-18972.6 3829.45,-19015.8 3832.31,-19059.1 3835.17,-19102.5 3838.03,-19145.9 \n",
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       "  3869.47,-19626.4 3872.33,-19670.3 3875.19,-19714.3 3878.05,-19758.4 3880.91,-19802.5 3883.77,-19846.6 3886.62,-19890.8 3889.48,-19935.1 3892.34,-19979.4 3895.2,-20023.7 \n",
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       "  3955.23,-20965.6 3958.09,-21011 3960.95,-21056.4 3963.81,-21101.9 3966.66,-21147.4 3969.52,-21193 3972.38,-21238.6 3975.24,-21284.2 3978.1,-21329.9 3980.96,-21375.7 \n",
       "  3983.82,-21421.5 3986.68,-21467.3 3989.53,-21513.2 3992.39,-21559.1 3995.25,-21605.1 3998.11,-21651.1 4000.97,-21697.2 4003.83,-21743.3 4006.69,-21789.5 4009.54,-21835.7 \n",
       "  4012.4,-21882 4015.26,-21928.3 4018.12,-21974.7 4020.98,-22021.1 4023.84,-22067.5 4026.7,-22114 4029.55,-22160.6 4032.41,-22207.1 4035.27,-22253.8 4038.13,-22300.5 \n",
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       "  4526.95,-30974.7 4529.81,-31029.4 4532.66,-31084.3 4535.52,-31139.1 4538.38,-31194 4541.24,-31249 4544.1,-31304 4546.96,-31359 4549.82,-31414.1 4552.67,-31469.3 \n",
       "  4555.53,-31524.5 4558.39,-31579.7 4561.25,-31635 4564.11,-31690.3 4566.97,-31745.7 4569.83,-31801.1 4572.68,-31856.6 4575.54,-31912.1 4578.4,-31967.7 4581.26,-32023.3 \n",
       "  4584.12,-32078.9 4586.98,-32134.6 4589.84,-32190.4 4592.69,-32246.2 4595.55,-32302 4598.41,-32357.9 4601.27,-32413.9 4604.13,-32469.9 4606.99,-32525.9 4609.85,-32582 \n",
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       "  4698.46,-34343.8 4701.32,-34401.4 4704.18,-34459 4707.04,-34516.7 4709.9,-34574.4 4712.76,-34632.2 4715.61,-34690 4718.47,-34747.9 4721.33,-34805.8 4724.19,-34863.8 \n",
       "  4727.05,-34921.8 4729.91,-34979.8 4732.77,-35037.9 4735.62,-35096.1 4738.48,-35154.3 4741.34,-35212.5 4744.2,-35270.8 4747.06,-35329.2 4749.92,-35387.5 4752.78,-35446 \n",
       "  4755.63,-35504.4 4758.49,-35563 4761.35,-35621.5 4764.21,-35680.2 4767.07,-35738.8 4769.93,-35797.5 4772.79,-35856.3 4775.64,-35915.1 4778.5,-35974 4781.36,-36032.9 \n",
       "  4784.22,-36091.8 4787.08,-36150.8 4789.94,-36209.8 4792.8,-36268.9 4795.65,-36328.1 4798.51,-36387.2 4801.37,-36446.5 4804.23,-36505.8 4807.09,-36565.1 4809.95,-36624.4 \n",
       "  4812.81,-36683.9 4815.66,-36743.3 4818.52,-36802.8 4821.38,-36862.4 4824.24,-36922 4827.1,-36981.7 4829.96,-37041.4 4832.82,-37101.1 4835.67,-37160.9 4838.53,-37220.7 \n",
       "  4841.39,-37280.6 4844.25,-37340.6 4847.11,-37400.5 4849.97,-37460.6 4852.83,-37520.6 4855.68,-37580.8 4858.54,-37640.9 4861.4,-37701.1 4864.26,-37761.4 4867.12,-37821.7 \n",
       "  4869.98,-37882.1 4872.84,-37942.5 4875.69,-38002.9 4878.55,-38063.4 4881.41,-38124 4884.27,-38184.6 4887.13,-38245.2 4889.99,-38305.9 4892.85,-38366.6 4895.7,-38427.4 \n",
       "  4898.56,-38488.2 4901.42,-38549.1 4904.28,-38610 4907.14,-38671 4910,-38732 4912.86,-38793.1 4915.71,-38854.2 4918.57,-38915.3 4921.43,-38976.5 4924.29,-39037.8 \n",
       "  4927.15,-39099.1 4930.01,-39160.4 4932.87,-39221.8 4935.73,-39283.2 4938.58,-39344.7 4941.44,-39406.3 4944.3,-39467.8 4947.16,-39529.5 4950.02,-39591.1 4952.88,-39652.9 \n",
       "  4955.74,-39714.6 4958.59,-39776.4 4961.45,-39838.3 4964.31,-39900.2 4967.17,-39962.2 4970.03,-40024.2 4972.89,-40086.2 4975.75,-40148.3 4978.6,-40210.4 4981.46,-40272.6 \n",
       "  4984.32,-40334.9 4987.18,-40397.1 4990.04,-40459.5 4992.9,-40521.9 4995.76,-40584.3 4998.61,-40646.7 5001.47,-40709.3 5004.33,-40771.8 5007.19,-40834.4 5010.05,-40897.1 \n",
       "  5012.91,-40959.8 5015.77,-41022.6 5018.62,-41085.4 5021.48,-41148.2 5024.34,-41211.1 5027.2,-41274 5030.06,-41337 5032.92,-41400.1 5035.78,-41463.1 5038.63,-41526.3 \n",
       "  5041.49,-41589.4 5044.35,-41652.7 5047.21,-41715.9 5050.07,-41779.3 5052.93,-41842.6 5055.79,-41906 5058.64,-41969.5 5061.5,-42033 5064.36,-42096.5 5067.22,-42160.1 \n",
       "  5070.08,-42223.8 5072.94,-42287.5 5075.8,-42351.2 5078.65,-42415 5081.51,-42478.8 5084.37,-42542.7 5087.23,-42606.6 5090.09,-42670.6 5092.95,-42734.6 5095.81,-42798.7 \n",
       "  5098.66,-42862.8 5101.52,-42927 5104.38,-42991.2 5107.24,-43055.4 5110.1,-43119.7 5112.96,-43184.1 5115.82,-43248.5 5118.67,-43312.9 5121.53,-43377.4 5124.39,-43442 \n",
       "  5127.25,-43506.5 5130.11,-43571.2 5132.97,-43635.9 5135.83,-43700.6 5138.68,-43765.4 5141.54,-43830.2 5144.4,-43895 5147.26,-43960 5150.12,-44024.9 5152.98,-44089.9 \n",
       "  5155.84,-44155 5158.69,-44220.1 5161.55,-44285.2 5164.41,-44350.4 5167.27,-44415.7 5170.13,-44481 5172.99,-44546.3 5175.85,-44611.7 5178.7,-44677.1 5181.56,-44742.6 \n",
       "  5184.42,-44808.1 5187.28,-44873.7 5190.14,-44939.3 5193,-45005 5195.86,-45070.7 5198.71,-45136.4 5201.57,-45202.2 5204.43,-45268.1 5207.29,-45334 5210.15,-45399.9 \n",
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       "  -75.3733,-1734.93 -72.5147,-1717.69 -69.6561,-1700.5 -66.7975,-1683.36 -63.9389,-1666.27 -61.0803,-1649.23 -58.2218,-1632.24 -55.3632,-1615.29 -52.5046,-1598.4 -49.646,-1581.55 \n",
       "  -46.7874,-1564.76 -43.9288,-1548.01 -41.0702,-1531.32 -38.2117,-1514.67 -35.3531,-1498.07 -32.4945,-1481.52 -29.6359,-1465.03 -26.7773,-1448.58 -23.9187,-1432.18 -21.0602,-1415.82 \n",
       "  -18.2016,-1399.52 -15.343,-1383.27 -12.4844,-1367.07 -9.62582,-1350.92 -6.76723,-1334.81 -3.90865,-1318.76 -1.05007,-1302.75 1.80852,-1286.8 4.6671,-1270.89 7.52569,-1255.03 \n",
       "  10.3843,-1239.23 13.2429,-1223.47 16.1014,-1207.76 18.96,-1192.1 21.8186,-1176.49 24.6772,-1160.93 27.5358,-1145.42 30.3944,-1129.96 33.2529,-1114.54 36.1115,-1099.18 \n",
       "  38.9701,-1083.87 41.8287,-1068.6 44.6873,-1053.39 47.5459,-1038.22 50.4045,-1023.11 53.263,-1008.04 56.1216,-993.022 58.9802,-978.054 61.8388,-963.135 64.6974,-948.266 \n",
       "  67.556,-933.446 70.4145,-918.676 73.2731,-903.955 76.1317,-889.283 78.9903,-874.661 81.8489,-860.088 84.7075,-845.564 87.566,-831.09 90.4246,-816.665 93.2832,-802.29 \n",
       "  96.1418,-787.964 99.0004,-773.687 101.859,-759.46 104.718,-745.282 107.576,-731.154 110.435,-717.075 113.293,-703.045 116.152,-689.065 119.01,-675.134 121.869,-661.253 \n",
       "  124.728,-647.421 127.586,-633.638 130.445,-619.905 133.303,-606.221 136.162,-592.586 139.021,-579.001 141.879,-565.465 144.738,-551.979 147.596,-538.542 150.455,-525.154 \n",
       "  153.313,-511.816 156.172,-498.527 159.031,-485.287 161.889,-472.097 164.748,-458.957 167.606,-445.865 170.465,-432.823 173.324,-419.831 176.182,-406.888 179.041,-393.994 \n",
       "  181.899,-381.149 184.758,-368.354 187.616,-355.609 190.475,-342.913 193.334,-330.266 196.192,-317.668 199.051,-305.12 201.909,-292.622 204.768,-280.172 207.627,-267.772 \n",
       "  210.485,-255.422 213.344,-243.121 216.202,-230.869 219.061,-218.666 221.92,-206.513 224.778,-194.41 227.637,-182.356 230.495,-170.351 233.354,-158.395 236.212,-146.489 \n",
       "  239.071,-134.633 241.93,-122.825 244.788,-111.067 247.647,-99.3589 250.505,-87.6998 253.364,-76.09 256.223,-64.5296 259.081,-53.0187 261.94,-41.5571 264.798,-30.1449 \n",
       "  267.657,-18.782 270.515,-7.4686 273.374,3.79545 276.233,15.0101 279.091,26.1754 281.95,37.2913 284.808,48.3578 287.667,59.3749 290.526,70.3427 293.384,81.261 \n",
       "  296.243,92.13 299.101,102.95 301.96,113.72 304.818,124.441 307.677,135.112 310.536,145.734 313.394,156.307 316.253,166.83 319.111,177.304 321.97,187.728 \n",
       "  324.829,198.103 327.687,208.429 330.546,218.705 333.404,228.932 336.263,239.11 339.121,249.238 341.98,259.317 344.839,269.346 347.697,279.326 350.556,289.257 \n",
       "  353.414,299.138 356.273,308.97 359.132,318.753 361.99,328.486 364.849,338.169 367.707,347.804 370.566,357.389 373.424,366.924 376.283,376.41 379.142,385.847 \n",
       "  382,395.235 384.859,404.573 387.717,413.861 390.576,423.1 393.435,432.29 396.293,441.431 399.152,450.522 402.01,459.564 404.869,468.556 407.727,477.499 \n",
       "  410.586,486.392 413.445,495.237 416.303,504.031 419.162,512.777 422.02,521.473 424.879,530.119 427.738,538.716 430.596,547.264 433.455,555.763 436.313,564.212 \n",
       "  439.172,572.612 442.031,580.962 444.889,589.263 447.748,597.514 450.606,605.716 453.465,613.869 456.323,621.973 459.182,630.026 462.041,638.031 464.899,645.986 \n",
       "  467.758,653.892 470.616,661.749 473.475,669.556 476.334,677.313 479.192,685.022 482.051,692.68 484.909,700.29 487.768,707.85 490.626,715.361 493.485,722.822 \n",
       "  496.344,730.234 499.202,737.597 502.061,744.91 504.919,752.174 507.778,759.388 510.637,766.553 513.495,773.669 516.354,780.735 519.212,787.752 522.071,794.72 \n",
       "  524.929,801.638 527.788,808.506 530.647,815.326 533.505,822.096 536.364,828.816 539.222,835.487 542.081,842.109 544.94,848.682 547.798,855.205 550.657,861.678 \n",
       "  553.515,868.103 556.374,874.477 559.232,880.803 562.091,887.079 564.95,893.306 567.808,899.483 570.667,905.611 573.525,911.69 576.384,917.719 579.243,923.698 \n",
       "  582.101,929.629 584.96,935.51 587.818,941.341 590.677,947.124 593.535,952.857 596.394,958.54 599.253,964.174 602.111,969.759 604.97,975.294 607.828,980.78 \n",
       "  610.687,986.217 613.546,991.604 616.404,996.942 619.263,1002.23 622.121,1007.47 624.98,1012.66 627.838,1017.8 630.697,1022.89 633.556,1027.93 636.414,1032.92 \n",
       "  639.273,1037.87 642.131,1042.76 644.99,1047.6 647.849,1052.4 650.707,1057.14 653.566,1061.84 656.424,1066.48 659.283,1071.08 662.141,1075.63 665,1080.13 \n",
       "  667.859,1084.58 670.717,1088.98 673.576,1093.33 676.434,1097.63 679.293,1101.88 682.152,1106.08 685.01,1110.23 687.869,1114.34 690.727,1118.39 693.586,1122.39 \n",
       "  696.445,1126.35 699.303,1130.25 702.162,1134.11 705.02,1137.92 707.879,1141.67 710.737,1145.38 713.596,1149.04 716.455,1152.65 719.313,1156.21 722.172,1159.72 \n",
       "  725.03,1163.18 727.889,1166.59 730.748,1169.96 733.606,1173.27 736.465,1176.53 739.323,1179.75 742.182,1182.91 745.04,1186.03 747.899,1189.09 750.758,1192.11 \n",
       "  753.616,1195.08 756.475,1197.99 759.333,1200.86 762.192,1203.68 765.051,1206.45 767.909,1209.17 770.768,1211.84 773.626,1214.46 776.485,1217.04 779.343,1219.56 \n",
       "  782.202,1222.03 785.061,1224.46 787.919,1226.83 790.778,1229.16 793.636,1231.43 796.495,1233.66 799.354,1235.84 802.212,1237.96 805.071,1240.04 807.929,1242.07 \n",
       "  810.788,1244.05 813.646,1245.98 816.505,1247.86 819.364,1249.69 822.222,1251.48 825.081,1253.21 827.939,1254.89 830.798,1256.53 833.657,1258.11 836.515,1259.64 \n",
       "  839.374,1261.13 842.232,1262.57 845.091,1263.95 847.949,1265.29 850.808,1266.58 853.667,1267.82 856.525,1269.01 859.384,1270.15 862.242,1271.24 865.101,1272.28 \n",
       "  867.96,1273.27 870.818,1274.21 873.677,1275.11 876.535,1275.95 879.394,1276.74 882.252,1277.49 885.111,1278.18 887.97,1278.83 890.828,1279.43 893.687,1279.98 \n",
       "  896.545,1280.47 899.404,1280.92 902.263,1281.32 905.121,1281.67 907.98,1281.97 910.838,1282.22 913.697,1282.42 916.556,1282.58 919.414,1282.68 922.273,1282.73 \n",
       "  925.131,1282.74 927.99,1282.69 930.848,1282.6 933.707,1282.45 936.566,1282.26 939.424,1282.02 942.283,1281.72 945.141,1281.38 948,1280.99 950.859,1280.55 \n",
       "  953.717,1280.06 956.576,1279.52 959.434,1278.93 962.293,1278.3 965.151,1277.61 968.01,1276.87 970.869,1276.09 973.727,1275.25 976.586,1274.37 979.444,1273.43 \n",
       "  982.303,1272.45 985.162,1271.41 988.02,1270.33 990.879,1269.2 993.737,1268.02 996.596,1266.79 999.454,1265.51 1002.31,1264.18 1005.17,1262.8 1008.03,1261.37 \n",
       "  1010.89,1259.9 1013.75,1258.37 1016.61,1256.79 1019.46,1255.17 1022.32,1253.49 1025.18,1251.77 1028.04,1249.99 1030.9,1248.17 1033.76,1246.3 1036.62,1244.38 \n",
       "  1039.47,1242.4 1042.33,1240.38 1045.19,1238.31 1048.05,1236.19 1050.91,1234.03 1053.77,1231.81 1056.63,1229.54 1059.48,1227.22 1062.34,1224.86 1065.2,1222.44 \n",
       "  1068.06,1219.98 1070.92,1217.46 1073.78,1214.9 1076.64,1212.28 1079.49,1209.62 1082.35,1206.91 1085.21,1204.15 1088.07,1201.34 1090.93,1198.48 1093.79,1195.57 \n",
       "  1096.65,1192.61 1099.5,1189.6 1102.36,1186.54 1105.22,1183.43 1108.08,1180.28 1110.94,1177.07 1113.8,1173.82 1116.66,1170.51 1119.51,1167.16 1122.37,1163.75 \n",
       "  1125.23,1160.3 1128.09,1156.8 1130.95,1153.25 1133.81,1149.65 1136.67,1146 1139.53,1142.3 1142.38,1138.55 1145.24,1134.75 1148.1,1130.9 1150.96,1127 \n",
       "  1153.82,1123.06 1156.68,1119.06 1159.54,1115.01 1162.39,1110.92 1165.25,1106.78 1168.11,1102.58 1170.97,1098.34 1173.83,1094.05 1176.69,1089.7 1179.55,1085.31 \n",
       "  1182.4,1080.87 1185.26,1076.38 1188.12,1071.84 1190.98,1067.25 1193.84,1062.62 1196.7,1057.93 1199.56,1053.19 1202.41,1048.41 1205.27,1043.57 1208.13,1038.68 \n",
       "  1210.99,1033.75 1213.85,1028.77 1216.71,1023.73 1219.57,1018.65 1222.42,1013.52 1225.28,1008.34 1228.14,1003.11 1231,997.826 1233.86,992.497 1236.72,987.118 \n",
       "  1239.58,981.69 1242.43,976.212 1245.29,970.685 1248.15,965.108 1251.01,959.482 1253.87,953.807 1256.73,948.083 1259.59,942.309 1262.44,936.485 1265.3,930.612 \n",
       "  1268.16,924.69 1271.02,918.719 1273.88,912.698 1276.74,906.627 1279.6,900.508 1282.45,894.339 1285.31,888.12 1288.17,881.852 1291.03,875.535 1293.89,869.168 \n",
       "  1296.75,862.752 1299.61,856.287 1302.46,849.772 1305.32,843.208 1308.18,836.594 1311.04,829.932 1313.9,823.219 1316.76,816.457 1319.62,809.646 1322.47,802.786 \n",
       "  1325.33,795.876 1328.19,788.917 1331.05,781.908 1333.91,774.85 1336.77,767.743 1339.63,760.586 1342.48,753.38 1345.34,746.124 1348.2,738.819 1351.06,731.465 \n",
       "  1353.92,724.061 1356.78,716.608 1359.64,709.105 1362.49,701.553 1365.35,693.952 1368.21,686.301 1371.07,678.601 1373.93,670.852 1376.79,663.053 1379.65,655.205 \n",
       "  1382.5,647.307 1385.36,639.36 1388.22,631.364 1391.08,623.318 1393.94,615.223 1396.8,607.079 1399.66,598.885 1402.51,590.641 1405.37,582.349 1408.23,574.007 \n",
       "  1411.09,565.615 1413.95,557.174 1416.81,548.684 1419.67,540.145 1422.52,531.556 1425.38,522.917 1428.24,514.229 1431.1,505.492 1433.96,496.706 1436.82,487.87 \n",
       "  1439.68,478.984 1442.54,470.05 1445.39,461.066 1448.25,452.032 1451.11,442.949 1453.97,433.817 1456.83,424.636 1459.69,415.405 1462.55,406.124 1465.4,396.794 \n",
       "  1468.26,387.415 1471.12,377.987 1473.98,368.509 1476.84,358.981 1479.7,349.405 1482.56,339.779 1485.41,330.103 1488.27,320.378 1491.13,310.604 1493.99,300.78 \n",
       "  1496.85,290.907 1499.71,280.985 1502.57,271.013 1505.42,260.992 1508.28,250.921 1511.14,240.801 1514,230.632 1516.86,220.413 1519.72,210.145 1522.58,199.828 \n",
       "  1525.43,189.461 1528.29,179.045 1531.15,168.579 1534.01,158.064 1536.87,147.5 1539.73,136.886 1542.59,126.223 1545.44,115.51 1548.3,104.748 1551.16,93.9367 \n",
       "  1554.02,83.0759 1556.88,72.1658 1559.74,61.2063 1562.6,50.1974 1565.45,39.1391 1568.31,28.0315 1571.17,16.8744 1574.03,5.66799 1576.89,-5.58783 1579.75,-16.893 \n",
       "  1582.61,-28.2476 1585.46,-39.6516 1588.32,-51.105 1591.18,-62.6077 1594.04,-74.1598 1596.9,-85.7614 1599.76,-97.4123 1602.62,-109.113 1605.47,-120.862 1608.33,-132.661 \n",
       "  1611.19,-144.51 1614.05,-156.408 1616.91,-168.355 1619.77,-180.351 1622.63,-192.397 1625.48,-204.493 1628.34,-216.638 1631.2,-228.832 1634.06,-241.075 1636.92,-253.368 \n",
       "  1639.78,-265.71 1642.64,-278.102 1645.49,-290.543 1648.35,-303.034 1651.21,-315.574 1654.07,-328.163 1656.93,-340.801 1659.79,-353.489 1662.65,-366.227 1665.5,-379.014 \n",
       "  1668.36,-391.85 1671.22,-404.735 1674.08,-417.67 1676.94,-430.655 1679.8,-443.688 1682.66,-456.771 1685.51,-469.904 1688.37,-483.086 1691.23,-496.317 1694.09,-509.598 \n",
       "  1696.95,-522.928 1699.81,-536.307 1702.67,-549.736 1705.52,-563.214 1708.38,-576.741 1711.24,-590.318 1714.1,-603.945 1716.96,-617.62 1719.82,-631.346 1722.68,-645.12 \n",
       "  1725.53,-658.944 1728.39,-672.817 1731.25,-686.74 1734.11,-700.712 1736.97,-714.733 1739.83,-728.804 1742.69,-742.924 1745.54,-757.094 1748.4,-771.313 1751.26,-785.581 \n",
       "  1754.12,-799.899 1756.98,-814.266 1759.84,-828.683 1762.7,-843.148 1765.56,-857.664 1768.41,-872.228 1771.27,-886.842 1774.13,-901.506 1776.99,-916.219 1779.85,-930.981 \n",
       "  1782.71,-945.792 1785.57,-960.653 1788.42,-975.564 1791.28,-990.524 1794.14,-1005.53 1797,-1020.59 1799.86,-1035.7 1802.72,-1050.86 1805.58,-1066.06 1808.43,-1081.32 \n",
       "  1811.29,-1096.62 1814.15,-1111.98 1817.01,-1127.38 1819.87,-1142.84 1822.73,-1158.34 1825.59,-1173.89 1828.44,-1189.49 1831.3,-1205.15 1834.16,-1220.85 1837.02,-1236.6 \n",
       "  1839.88,-1252.4 1842.74,-1268.24 1845.6,-1284.14 1848.45,-1300.09 1851.31,-1316.09 1854.17,-1332.13 1857.03,-1348.23 1859.89,-1364.37 1862.75,-1380.57 1865.61,-1396.81 \n",
       "  1868.46,-1413.1 1871.32,-1429.45 1874.18,-1445.84 1877.04,-1462.28 1879.9,-1478.77 1882.76,-1495.31 1885.62,-1511.9 1888.47,-1528.54 1891.33,-1545.23 1894.19,-1561.97 \n",
       "  1897.05,-1578.75 1899.91,-1595.59 1902.77,-1612.47 1905.63,-1629.41 1908.48,-1646.39 1911.34,-1663.43 1914.2,-1680.51 1917.06,-1697.64 1919.92,-1714.83 1922.78,-1732.06 \n",
       "  1925.64,-1749.34 1928.49,-1766.67 1931.35,-1784.05 1934.21,-1801.48 1937.07,-1818.96 1939.93,-1836.48 1942.79,-1854.06 1945.65,-1871.69 1948.5,-1889.36 1951.36,-1907.09 \n",
       "  1954.22,-1924.86 1957.08,-1942.69 1959.94,-1960.56 1962.8,-1978.48 1965.66,-1996.46 1968.51,-2014.48 1971.37,-2032.55 1974.23,-2050.67 1977.09,-2068.84 1979.95,-2087.06 \n",
       "  1982.81,-2105.33 1985.67,-2123.65 1988.52,-2142.01 1991.38,-2160.43 1994.24,-2178.9 1997.1,-2197.41 1999.96,-2215.98 2002.82,-2234.59 2005.68,-2253.25 2008.53,-2271.97 \n",
       "  2011.39,-2290.73 2014.25,-2309.54 2017.11,-2328.4 2019.97,-2347.31 2022.83,-2366.27 2025.69,-2385.28 2028.54,-2404.34 2031.4,-2423.45 2034.26,-2442.61 2037.12,-2461.81 \n",
       "  2039.98,-2481.07 2042.84,-2500.38 2045.7,-2519.73 2048.55,-2539.14 2051.41,-2558.59 2054.27,-2578.09 2057.13,-2597.64 2059.99,-2617.25 2062.85,-2636.9 2065.71,-2656.6 \n",
       "  2068.56,-2676.35 2071.42,-2696.15 2074.28,-2716 2077.14,-2735.9 2080,-2755.84 2082.86,-2775.84 2085.72,-2795.89 2088.58,-2815.98 2091.43,-2836.13 2094.29,-2856.32 \n",
       "  2097.15,-2876.57 2100.01,-2896.86 2102.87,-2917.2 2105.73,-2937.6 2108.59,-2958.04 2111.44,-2978.53 2114.3,-2999.07 2117.16,-3019.66 2120.02,-3040.3 2122.88,-3060.99 \n",
       "  2125.74,-3081.72 2128.6,-3102.51 2131.45,-3123.35 2134.31,-3144.23 2137.17,-3165.17 2140.03,-3186.15 2142.89,-3207.19 2145.75,-3228.27 2148.61,-3249.4 2151.46,-3270.59 \n",
       "  2154.32,-3291.82 2157.18,-3313.1 2160.04,-3334.43 2162.9,-3355.81 2165.76,-3377.24 2168.62,-3398.72 2171.47,-3420.25 2174.33,-3441.82 2177.19,-3463.45 2180.05,-3485.13 \n",
       "  2182.91,-3506.85 2185.77,-3528.63 2188.63,-3550.45 2191.48,-3572.32 2194.34,-3594.25 2197.2,-3616.22 2200.06,-3638.24 2202.92,-3660.31 2205.78,-3682.43 2208.64,-3704.6 \n",
       "  2211.49,-3726.82 2214.35,-3749.09 2217.21,-3771.41 2220.07,-3793.78 2222.93,-3816.2 2225.79,-3838.66 2228.65,-3861.18 2231.5,-3883.74 2234.36,-3906.36 2237.22,-3929.02 \n",
       "  2240.08,-3951.73 2242.94,-3974.5 2245.8,-3997.31 2248.66,-4020.17 2251.51,-4043.08 2254.37,-4066.04 2257.23,-4089.05 2260.09,-4112.11 2262.95,-4135.22 2265.81,-4158.38 \n",
       "  2268.67,-4181.58 2271.52,-4204.84 2274.38,-4228.15 2277.24,-4251.5 2280.1,-4274.91 2282.96,-4298.36 2285.82,-4321.86 2288.68,-4345.42 2291.53,-4369.02 2294.39,-4392.67 \n",
       "  2297.25,-4416.37 2300.11,-4440.12 2302.97,-4463.92 2305.83,-4487.77 2308.69,-4511.67 2311.54,-4535.62 2314.4,-4559.61 2317.26,-4583.66 2320.12,-4607.76 2322.98,-4631.9 \n",
       "  2325.84,-4656.1 2328.7,-4680.34 2331.55,-4704.64 2334.41,-4728.98 2337.27,-4753.37 2340.13,-4777.81 2342.99,-4802.3 2345.85,-4826.84 2348.71,-4851.43 2351.56,-4876.07 \n",
       "  2354.42,-4900.76 2357.28,-4925.5 2360.14,-4950.29 2363,-4975.13 2365.86,-5000.01 2368.72,-5024.95 2371.57,-5049.93 2374.43,-5074.97 2377.29,-5100.05 2380.15,-5125.18 \n",
       "  2383.01,-5150.37 2385.87,-5175.6 2388.73,-5200.88 2391.59,-5226.21 2394.44,-5251.59 2397.3,-5277.02 2400.16,-5302.5 2403.02,-5328.03 2405.88,-5353.6 2408.74,-5379.23 \n",
       "  2411.6,-5404.91 2414.45,-5430.63 2417.31,-5456.41 2420.17,-5482.23 2423.03,-5508.11 2425.89,-5534.03 2428.75,-5560 2431.61,-5586.03 2434.46,-5612.1 2437.32,-5638.22 \n",
       "  2440.18,-5664.39 2443.04,-5690.61 2445.9,-5716.88 2448.76,-5743.2 2451.62,-5769.56 2454.47,-5795.98 2457.33,-5822.45 2460.19,-5848.96 2463.05,-5875.53 2465.91,-5902.14 \n",
       "  2468.77,-5928.81 2471.63,-5955.52 2474.48,-5982.28 2477.34,-6009.1 2480.2,-6035.96 2483.06,-6062.87 2485.92,-6089.83 2488.78,-6116.84 2491.64,-6143.9 2494.49,-6171.01 \n",
       "  2497.35,-6198.17 2500.21,-6225.37 2503.07,-6252.63 2505.93,-6279.94 2508.79,-6307.29 2511.65,-6334.7 2514.5,-6362.15 2517.36,-6389.65 2520.22,-6417.21 2523.08,-6444.81 \n",
       "  2525.94,-6472.46 2528.8,-6500.16 2531.66,-6527.91 2534.51,-6555.71 2537.37,-6583.56 2540.23,-6611.46 2543.09,-6639.41 2545.95,-6667.41 2548.81,-6695.45 2551.67,-6723.55 \n",
       "  2554.52,-6751.7 2557.38,-6779.89 2560.24,-6808.14 2563.1,-6836.43 2565.96,-6864.77 2568.82,-6893.17 2571.68,-6921.61 2574.53,-6950.1 2577.39,-6978.64 2580.25,-7007.23 \n",
       "  2583.11,-7035.87 2585.97,-7064.56 2588.83,-7093.3 2591.69,-7122.09 2594.54,-7150.92 2597.4,-7179.81 2600.26,-7208.74 2603.12,-7237.73 2605.98,-7266.76 2608.84,-7295.85 \n",
       "  2611.7,-7324.98 2614.55,-7354.17 2617.41,-7383.4 2620.27,-7412.68 2623.13,-7442.01 2625.99,-7471.39 2628.85,-7500.82 2631.71,-7530.3 2634.56,-7559.83 2637.42,-7589.41 \n",
       "  2640.28,-7619.03 2643.14,-7648.71 2646,-7678.44 2648.86,-7708.21 2651.72,-7738.04 2654.57,-7767.91 2657.43,-7797.83 2660.29,-7827.81 2663.15,-7857.83 2666.01,-7887.9 \n",
       "  2668.87,-7918.02 2671.73,-7948.19 2674.58,-7978.41 2677.44,-8008.68 2680.3,-8039 2683.16,-8069.37 2686.02,-8099.79 2688.88,-8130.25 2691.74,-8160.77 2694.59,-8191.33 \n",
       "  2697.45,-8221.95 2700.31,-8252.61 2703.17,-8283.33 2706.03,-8314.09 2708.89,-8344.9 2711.75,-8375.77 2714.61,-8406.68 2717.46,-8437.64 2720.32,-8468.65 2723.18,-8499.71 \n",
       "  2726.04,-8530.82 2728.9,-8561.97 2731.76,-8593.18 2734.62,-8624.44 2737.47,-8655.75 2740.33,-8687.1 2743.19,-8718.51 2746.05,-8749.96 2748.91,-8781.46 2751.77,-8813.02 \n",
       "  2754.63,-8844.62 2757.48,-8876.27 2760.34,-8907.97 2763.2,-8939.73 2766.06,-8971.53 2768.92,-9003.38 2771.78,-9035.27 2774.64,-9067.22 2777.49,-9099.22 2780.35,-9131.27 \n",
       "  2783.21,-9163.36 2786.07,-9195.51 2788.93,-9227.71 2791.79,-9259.95 2794.65,-9292.24 2797.5,-9324.59 2800.36,-9356.98 2803.22,-9389.42 2806.08,-9421.91 2808.94,-9454.46 \n",
       "  2811.8,-9487.05 2814.66,-9519.69 2817.51,-9552.38 2820.37,-9585.11 2823.23,-9617.9 2826.09,-9650.74 2828.95,-9683.63 2831.81,-9716.56 2834.67,-9749.55 2837.52,-9782.58 \n",
       "  2840.38,-9815.67 2843.24,-9848.8 2846.1,-9881.98 2848.96,-9915.22 2851.82,-9948.5 2854.68,-9981.83 2857.53,-10015.2 2860.39,-10048.6 2863.25,-10082.1 2866.11,-10115.6 \n",
       "  2868.97,-10149.2 2871.83,-10182.9 2874.69,-10216.5 2877.54,-10250.3 2880.4,-10284 2883.26,-10317.9 2886.12,-10351.7 2888.98,-10385.7 2891.84,-10419.6 2894.7,-10453.7 \n",
       "  2897.55,-10487.7 2900.41,-10521.8 2903.27,-10556 2906.13,-10590.2 2908.99,-10624.5 2911.85,-10658.8 2914.71,-10693.2 2917.56,-10727.6 2920.42,-10762.1 2923.28,-10796.6 \n",
       "  2926.14,-10831.2 2929,-10865.8 2931.86,-10900.4 2934.72,-10935.2 2937.57,-10969.9 2940.43,-11004.7 2943.29,-11039.6 2946.15,-11074.5 2949.01,-11109.5 2951.87,-11144.5 \n",
       "  2954.73,-11179.5 2957.58,-11214.6 2960.44,-11249.8 2963.3,-11285 2966.16,-11320.3 2969.02,-11355.6 2971.88,-11390.9 2974.74,-11426.3 2977.59,-11461.8 2980.45,-11497.3 \n",
       "  2983.31,-11532.8 2986.17,-11568.5 2989.03,-11604.1 2991.89,-11639.8 2994.75,-11675.6 2997.6,-11711.4 3000.46,-11747.2 3003.32,-11783.1 3006.18,-11819.1 3009.04,-11855.1 \n",
       "  3011.9,-11891.1 3014.76,-11927.2 3017.61,-11963.3 3020.47,-11999.5 3023.33,-12035.8 3026.19,-12072.1 3029.05,-12108.4 3031.91,-12144.8 3034.77,-12181.3 3037.63,-12217.7 \n",
       "  3040.48,-12254.3 3043.34,-12290.9 3046.2,-12327.5 3049.06,-12364.2 3051.92,-12400.9 3054.78,-12437.7 3057.64,-12474.6 3060.49,-12511.5 3063.35,-12548.4 3066.21,-12585.4 \n",
       "  3069.07,-12622.4 3071.93,-12659.5 3074.79,-12696.6 3077.65,-12733.8 3080.5,-12771.1 3083.36,-12808.3 3086.22,-12845.7 3089.08,-12883 3091.94,-12920.5 3094.8,-12958 \n",
       "  3097.66,-12995.5 3100.51,-13033.1 3103.37,-13070.7 3106.23,-13108.4 3109.09,-13146.1 3111.95,-13183.9 3114.81,-13221.7 3117.67,-13259.6 3120.52,-13297.5 3123.38,-13335.5 \n",
       "  3126.24,-13373.5 3129.1,-13411.6 3131.96,-13449.7 3134.82,-13487.9 3137.68,-13526.1 3140.53,-13564.3 3143.39,-13602.7 3146.25,-13641 3149.11,-13679.5 3151.97,-13717.9 \n",
       "  3154.83,-13756.4 3157.69,-13795 3160.54,-13833.6 3163.4,-13872.3 3166.26,-13911 3169.12,-13949.8 3171.98,-13988.6 3174.84,-14027.4 3177.7,-14066.4 3180.55,-14105.3 \n",
       "  3183.41,-14144.3 3186.27,-14183.4 3189.13,-14222.5 3191.99,-14261.7 3194.85,-14300.9 3197.71,-14340.1 3200.56,-14379.4 3203.42,-14418.8 3206.28,-14458.2 3209.14,-14497.6 \n",
       "  3212,-14537.1 3214.86,-14576.7 3217.72,-14616.3 3220.57,-14656 3223.43,-14695.7 3226.29,-14735.4 3229.15,-14775.2 3232.01,-14815.1 3234.87,-14855 3237.73,-14894.9 \n",
       "  3240.58,-14934.9 3243.44,-14975 3246.3,-15015 3249.16,-15055.2 3252.02,-15095.4 3254.88,-15135.6 3257.74,-15175.9 3260.59,-15216.3 3263.45,-15256.7 3266.31,-15297.1 \n",
       "  3269.17,-15337.6 3272.03,-15378.1 3274.89,-15418.7 3277.75,-15459.4 3280.6,-15500.1 3283.46,-15540.8 3286.32,-15581.6 3289.18,-15622.4 3292.04,-15663.3 3294.9,-15704.3 \n",
       "  3297.76,-15745.2 3300.61,-15786.3 3303.47,-15827.4 3306.33,-15868.5 3309.19,-15909.7 3312.05,-15950.9 3314.91,-15992.2 3317.77,-16033.5 3320.62,-16074.9 3323.48,-16116.3 \n",
       "  3326.34,-16157.8 3329.2,-16199.3 3332.06,-16240.9 3334.92,-16282.6 3337.78,-16324.2 3340.64,-16366 3343.49,-16407.7 3346.35,-16449.6 3349.21,-16491.4 3352.07,-16533.4 \n",
       "  3354.93,-16575.3 3357.79,-16617.4 3360.65,-16659.4 3363.5,-16701.5 3366.36,-16743.7 3369.22,-16785.9 3372.08,-16828.2 3374.94,-16870.5 3377.8,-16912.9 3380.66,-16955.3 \n",
       "  3383.51,-16997.8 3386.37,-17040.3 3389.23,-17082.9 3392.09,-17125.5 3394.95,-17168.1 3397.81,-17210.9 3400.67,-17253.6 3403.52,-17296.4 3406.38,-17339.3 3409.24,-17382.2 \n",
       "  3412.1,-17425.2 3414.96,-17468.2 3417.82,-17511.2 3420.68,-17554.4 3423.53,-17597.5 3426.39,-17640.7 3429.25,-17684 3432.11,-17727.3 3434.97,-17770.6 3437.83,-17814.1 \n",
       "  3440.69,-17857.5 3443.54,-17901 3446.4,-17944.6 3449.26,-17988.2 3452.12,-18031.8 3454.98,-18075.5 3457.84,-18119.3 3460.7,-18163.1 3463.55,-18206.9 3466.41,-18250.8 \n",
       "  3469.27,-18294.8 3472.13,-18338.8 3474.99,-18382.8 3477.85,-18426.9 3480.71,-18471.1 3483.56,-18515.3 3486.42,-18559.5 3489.28,-18603.8 3492.14,-18648.1 3495,-18692.5 \n",
       "  3497.86,-18737 3500.72,-18781.5 3503.57,-18826 3506.43,-18870.6 3509.29,-18915.3 3512.15,-18959.9 3515.01,-19004.7 3517.87,-19049.5 3520.73,-19094.3 3523.58,-19139.2 \n",
       "  3526.44,-19184.1 3529.3,-19229.1 3532.16,-19274.2 3535.02,-19319.2 3537.88,-19364.4 3540.74,-19409.6 3543.59,-19454.8 3546.45,-19500.1 3549.31,-19545.4 3552.17,-19590.8 \n",
       "  3555.03,-19636.2 3557.89,-19681.7 3560.75,-19727.2 3563.6,-19772.8 3566.46,-19818.4 3569.32,-19864.1 3572.18,-19909.8 3575.04,-19955.6 3577.9,-20001.4 3580.76,-20047.3 \n",
       "  3583.61,-20093.2 3586.47,-20139.2 3589.33,-20185.2 3592.19,-20231.3 3595.05,-20277.4 3597.91,-20323.6 3600.77,-20369.8 3603.62,-20416.1 3606.48,-20462.4 3609.34,-20508.8 \n",
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      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plt = plot()\n",
    "Plotter.plot_pot!(pot1; lplt_wf = false, plt = plt, color = \"#b2182b\")\n",
    "Plotter.plot_pot!(pot2; lplt_wf = false, plt = plt, color = \"#2166ac\")\n",
    "Plotter.plot_pot!(pot3; lplt_wf = false, plt = plt, color = \"#b2182b\")\n",
    "xlims!((-5, 10))\n",
    "ylims!((-0.2, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Capture coefficient"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define parameters for calculating capture coefficient (e.g. temperature and Volume of the supercell)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.0:7.97979797979798:800.0"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Tmin = 10\n",
    "Tmax = 800\n",
    "NT = 100\n",
    "Volume = 1.28463E-21\n",
    "cut_off = 0.25\n",
    "σ = 0.0075\n",
    "temperature = range(Tmin, stop=Tmax, length=NT)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Constructe configuration coordinate (`conf_coord`) to calculate the wavefunction overlap between each PES, which forms part of the temperature-dependent capture coefficient.\n",
    "The capture coefficient is given as a function of temperature."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Electron capture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.0:7.97979797979798:800.0"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "W = 0.205 # e-ph coupling\n",
    "g = 1 # degeneracy\n",
    "\n",
    "# build a configuration coordinate for the electron capture\n",
    "cc_e = conf_coord(pot1, pot2)\n",
    "cc_e.W = W\n",
    "cc_e.g = g\n",
    "calc_overlap!(cc_e; cut_off = cut_off, σ = σ)\n",
    "calc_capt_coeff!(cc_e, Volume, temperature)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
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      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "invTmin = 1\n",
    "invTmax = 13\n",
    "\n",
    "plt = plot()\n",
    "\n",
    "Plotter.plot_cc!(cc_e; plt=plt, label=\"electron capture\")\n",
    "\n",
    "xlims!(invTmin, invTmax)\n",
    "ylims!(1E-12, 1E-6)"
   ]
  }
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